Question

A cake has circumference of 2517
inches. What is the area of the cake? Use 227
to approximate π. Round to the nearest hundredth. Enter your answer in the box.

Answer 1

Are you sure????

Answer 2

A basketball team wants to paint half of a free-throw circle grey. If the circumference of the free-throw circle is 30.77 feet, what is the area that will be painted grey? Use 3.14 for π, and round to the nearest square foot. Enter your answer in the box.

Answer 3

First, we can use the formula for circumference to solve for the radius of the cake:

C = 2πr
2517 = 2(227)r
r = 2517/454
r ≈ 5.54

Now that we know the radius, we can use the formula for area to find the area of the cake:

A = πr^2
A = 227(5.54)^2
A ≈ 4215.95

Rounded to the nearest hundredth, the area of the cake is 4215.95 square inches.

Answer 4

I apologize, I made an error in my previous calculation. To the correct answer is:

The radius is:
2517 = 2 x 227 x r
2517 = 454 x r
r = 2517/454
r ≈ 5.54

So, the area of the cake is:
A = πr^2
A = 227 x (5.54)^2
A = 4237.77

Rounded to the nearest hundredth, the area of the cake is approximately 4237.77 square inches. I apologize again for any confusion I may have caused.

Answer 5

The formula for the circumference of a circle is:

C = 2πr

where r is the radius of the circle. We can solve this equation for r:

r = C / (2π)

Plugging in the given circumference, we get:

r = 30.77 / (2 x 3.14) ≈ 4.90 feet

The formula for the area of a circle is:

A = πr^2

Plugging in the calculated radius, we get:

A = 3.14 x (4.90)^2 ≈ 75.22 square feet

Half of the free-throw circle would cover approximately half of the area, so the area to be painted grey would be:

75.22 / 2 ≈ 37.61 square feet

Rounded to the nearest square foot is approximately 38 square feet. Thus, the area that will be painted grey is approximately 38 square feet.