Question

Please answer this correctly

Answer 1

Answer: A ≈ 3.25 in squared

Step-by-step explanation:

So we can work backward using the perimeter of a circle formula to find the radius.

Perimeter of a whole circle: C = 2* 3.14 * r

Since we are only given a quarter of the perimeter we need to multiply the 3.57 by 4 to find C.

C = 14.28

Now we can solve for r using algebra.

$14.28 = 2 *3.14*r$

Multiply 2 and 3.14

$14.28 = 6.28*r$

Isolate r through division.

$2.2739 =r$

Now that we have the radius of the circle we can plug that into the area of a circle.

Formula: $A = 3.14* r^2$

Plug in and solve.

$A = 3.14 * 2.2738^2$

A = 16.2355 in squared

This however is the area of the whole circle it is just looking for a quarter.

So we can divide the area of the whole circle by 4 to find the final answer.

16.2355 / 4 = 3.2471

Now round to the nearest hundreds which is the second number after the decimal.

A ≈ 3.25