find the area of a circle with a diameter of 102 in

Answers

Answer 1

The area of a circle is the radius squared x pi.

Area = r^2 x pi

R is the radius which is half the diameter.

Diameter = 102 inches

Radius = 102/2 = 51 inches

Area = 51^2 x pi

Area = 2,601pi inches^2 ( in terms of pi) or

Area = 8,167.14 inches^2

Answer 2
Answer:

Area of circle is 8,167.14 cm ²

Step-by-step explanation:

We have

diameter of circle = 102 cm

And we need to find area of circle,

So the formula we using is

Area of circle = π ×r ²

Here,

R denotes for Radius

π denotes for pi.

For finding area of circle we need to find radius

here we have diameter of circle = 102 cm and

We know that ,diameter is the double of radius it means radius is the half of diameter

So, radius of circle = 102/2 = 51 cm

Now Solve it

Area of circle = π × ( r ) ²

Substitute the value

Area of circle = 3.14 × ( 51cm )² .. [ using π = 3.14 ]

Multiply the values

Area of circle = 3.14 × ( 51 cm × 51cm) ..[( 51 ) ²= 51 × 51]

Area of circle = 3.14 × 2,601 cm².

Therefore , Area of circle is 8,167.14 cm ²


Related Questions

quick math help pls!

Answers

Answer:

half of 45.7 is 22.85

22.85^2 = 522.1225

522.1225 x pi

Meaning

522.1225π, A

Answer:

[tex]522.12\pi[/tex] inches²

Step-by-step explanation:

The formula for finding the area of a circle is:

[tex]A=\pi r^2[/tex]

If you put 45.7/2 (because you have the diameter and NOT the radius) instead of r you get:

[tex]A=22.85^2\pi[/tex]

Now you calculate:

[tex]A=522.12\pi \\[/tex] inches²

Sydney buys a new car for $24,000 and finances the car for 5 years at 2.5% interest compounded yearly. She estimates that the value of the car will decrease by 16% each year. If Sydney is able to sell the car on the day of her last car payment for the value she estimated, how much money will she have spent over the 5 years?

Answers

Answer:17,117

Step-by-step explanation:

hey! please help i’ll give brainliest

Answers

Answer:

Heyo! the answer is A since their implying it's important :)

A truck is 48 ft. long and 10 ft. wide. The owner wants to paint a red stripe around the outside of the truck. How long is the stripe? Please explain​

Answers

480 ft wide, the area is l times w.

Find the volume of the given cylinder

Answers

Answer:

The answer is 32 I just know it

Tulsa has 4 times as many mangoes as Julie. Tulsa bought 6 more mangoes. She now has 5 time as many mangoes as Julie . How many many mangoes Tulsa had at first

Answers

Answer:

24

Step-by-step explanation:

Let the number of mangoes owned by Tulsa be T and that by Julie be J

If Tulsa has 4 times as many mangoes as Julie then

T = 4J

Tulsa bought 6 more mangoes. She now has 5 time as many mangoes as Julie

T + 6 = 5J

Solve both equations simultaneously by substitution

4J + 6 = 5J

Collect like terms

6 = 5J- 4J

J = 6

Since

T = 4J

T = 4 * 6

= 24

Hence Tulsa had 24 mangoes at first

What are the coordinates for point D?

Answers

Answer:

-3,6

Step-by-step explanation:

Please help me with this one no links

Answers

Answer:

L' = (0, 1 )

Step-by-step explanation:

The translation rule

(x, y ) → (x - 2, y - 1 )

Means subtract 2 from the x- coordinate and subtract 1 from the y- coordinate.

L (2, 2 ) → L' (2 - 2, 2 - 1 ) → L' (0, 1 )

The length of a rectangle is 8 cm. Its diagonal measures 14
cm. What is its width?

Answers

Answer:

width is 2√33 cm

Step-by-step explanation:

you will make a right triangle with hypothenuse 14 , one side 8 and the other side x is the width.

use Pythagorean Th.

14² = 8² + x²

x² = 14² -8²

x² = 132

x = √132 = 2√33

Mhanifa please help! If I don’t get this done I will fail this class :(

Answers

Answer:

#1

x/9 = tan 60°x = 9 tan 60° x = 15.6 m

#2

cos θ = 15.1/16.5cos θ = 0.915θ = arccos (0.915)θ = 23.8°

#3

10/x = tan 42°x = 10 / tan 42°x = 11.1 m

Write the factored form of each trinomial.
x^2 + 11x +28

Answers

Answer:=

=(x^2+4x)+(7x+28)

=x(x+4)+7(x+4)

=(x+4)(x+7)

Step-by-step explanation:

Answer:

[tex](x+4) (x+7)[/tex]

Step-by-step explanation:

Factor x^2 + 11x + 28 using the AC method.

Can someone help me with this please

Answers

Answer:

where is the diagram?

Step-by-step explanation:

PLEASE PLEASE HELP ME ASAP

Answers

Answer:

378

Step-by-step explanation:

540 of 70%. So you will write this as 70 / 100 x 540 = 378. I hope this helped you.! <3

Round your answer to the nearest hundredth find side BC

Answers

Answer:

take 70 degree as reference angle

using cos rule

let adjacent be x

cos70=adjacent/hypotenuse

0.34=x/5

0.34*5=x

1.7=x

Step-by-step explanation:

$12500 is invested at a compound interest rate of 9% pa. Interest, however,
is compounded monthly. Use the formula to calculate the amount to which
the investment will grow in 4 years.

Answers

Answer:

£4500

Step-by-step explanation:

12500 ×9/100

=1125

4 years =1125×4

=£4500

Which of the following numbers is between 0.40 and 0.47 ?
7/50

19/50

21/50

43/50

Answers

The Answer is 21/50 which is = 0.42

21/50 because 21/50=0.42

You want to create a rectangular display board and line it with string lights. You want the lights to go along the two sides and the top, but not along the bottom. You have 40 feet of lights to use. What is the maximum size the display area can be to give the maximum area? What is the maximum display area?
pls help ily

Answers

Answer:

The maximum display area is 200sq. Ft. (square feet)

The maximum size of the lights is 20ft for the top and 10 ft for the sides

Step-by-step explanation:

I’m gonna delete this tmr because teacher checks this website I think

Which illustration predicts the effects of rotating the given triangle 75 degrees about R counterclockwise?

Answers

Answer:

Option B is correct

Step-by-step explanation:

The triangle if rotated by 75 degrees in the counter clock wise direction will have C vertices in the second quadrant , A vertices also in the second quadrant and B vertices in the third quadrant.

Hence, option B is correct

Why might you use the commutative property to multiply (-4) × 5?

Answers

Answer:

answer will be same -20

Step-by-step explanation:

because (-4)×5 is same as 5×(-4)

Here is part of a timetable for the Paris to Montpellier express train service.
The average speed of the 20 07 train from Paris is 224 km/h. Work out the distance this train travels from Paris to Montpelli

Answers

Answer:

772.8 km

Step-by-step explanation:

Speed is the rate of change of distance. Speed is the ratio of distance travelled to time taken. Average speed is the ratio of the total distance travelled to the total time taken, it is given by:

Average speed = Total distance / total time

The 20 07 train leaves Paris at 20:07 and reaches Montpellier at 23:34. This means that the total time taken is 3 hours 27 minutes, that is 3.45 hours.

Given that average speed is 224 km/h, hence:

Average speed = total distance / total time

224 km/h = total distance / 3.45 h

total distance = 224 * 3.45 = 772.8 km

Can someone explain to me how the Pythagorean theorem works??

Answers

Answer:

By the Pythagorean theorem, it follows that the hypotenuse of this triangle has length c = √a2 + b2, the same as the hypotenuse of the first triangle. Since both triangles' sides are the same lengths a, b and c, the triangles are congruent and must have the same angles. ... If a2 + b2 = c2, then the triangle is right.

Step-by-step explanation:

Solve for the value of x.

Answers

Step-by-step explanation:

9x-4+6x+4=180 ( being straight angle)

15x=180

x=180/15

x=12

I hope it help you

plz answer, will give brainliest

Answers

Answer:

12

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 9^2 = 15^2

a^2 +81 =225

Subtract 81 from each side

a^2 = 225-81

a^2 = 144

Take the square root of each side

sqrt(a^2) = sqrt(144)

a=12

Answer:

a = 12 meters

Step-by-step explanation:

Use pythagorean theorem to identify the missing leg

pythagorean theorem = [tex]a^2+b^2=c^2[/tex]

In this case, we are looking for a so...

[tex]a^2+b^2=c^2[/tex]

[tex]a^2+9^2=15^2[/tex]

[tex]a^2+81=225[/tex]

[tex]a^2=225-81[/tex]

[tex]a^2=144[/tex]

It doesn't make sense for a to be equal to 144 so we must square root 144

144 = [tex]12^{2}[/tex] meters

Final Answer: 12 meters

Please help me solve this math it’s due in 1 hour

Answers

If you count over left you get 7.5. Then count right thrashed amount & you get 15.
15 yard line would be the answer.

Marta is building a scale model of the Empire State building which has a rectangular base. The scale on the model is 1 inch = 35 feet. Her model is 4 inches in length and 1 inch in width. What is the actual area, in square feet, of the base of the building?

Answers

Answer: The actual area of the base of the building is 4900 square feet.

Step-by-step explanation:

We have given, the scale on the model: 1 inch = 35 feet

In model,

Length= 4 feet , Width = 1 inch

As per scale ,

Actual length =  4 x 35 feet

= 140 feet

Actual width = 35 feet

Area of base of the building = Length x width

= 140 x 35

= 4900 square feet

Hence, the actual area of the base of the building is 4900 square feet.

Mohammed pays $569.80 for a mountain bike in a sale, the original price had been reduced by 26%, calculate the original price of the mountain bike

Answers

Answer:

$770

Step-by-step explanation:

26% off means the Mohammed paid 74% of the original price.

0.74x=569.80

x=569.8/0.74

x=770

proof:

770*0.26=200.2

770-200.2=569.8

How do I find the Q1 and Q3?

0,0,1,2,2,3,4,4,4,4,5,6,6,7,7

Answers

Answer:

Q1 = 2

Q3 = 6

Step-by-step explanation:

Mathematically, we have

Q1 = (n + 1)/4 th term

where n is the number of terms

By the count, we have n as 15

Q1 = (15 + 1)/4

Q1 = 4th term

Looking at the arrangement, the 4th term is 2

For Q3

Q3 = 3(n + 1)/4 th term

n = 15

Q3 = 3 * 4 = 12th term

The 12th term is 6

So that is the 3rd quartile

What is the value of x?

Enter your answer in the box.

Answers

Step-by-step explanation:

which class are you

just to confirm

Please Help! WIll Give 25 Points And Brainliest!


Please solve the picture below

Answers

Answer: n × n× 6

length time width both = n and hight is 6 so n × n × 6

Step-by-step explanation:

help me please (Math)

Answers

Answer:

x = 7

Step-by-step explanation:

Exterior angle thm:

4x + 12 + 7x + 12 = 101

11x + 24 = 101

11x = 101 - 24

11x = 77

x = 7

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