Find the circumference and the area of the circle. Use the rules for working with measurements. A) The circumference is 313 mi, the area is 15,600 mi ². B) The circumference is 626 mi, the area is 15,600 mi ². C) The circumference is 313 mi, the area is 7,790 mi ². D) The circumference is 157 mi, the area is 15,600 mi ². E) The circumference is 626 mi, the area is 11,690 mi ².

Question

Quizplus · Accepted Answer

We can use the formulas:

Circumference = 2πr
Area = πr^2

where r is the radius of the circle.

First, we need to find the radius of the circle using the given information about the circumference:

C = 2πr
313 = 2πr
r = 313/(2π)
r ≈ 49.7 mi

Now we can use this radius to find the area:

A = πr^2
A = π(49.7)^2
A ≈ 7,790 mi^2

Therefore, the answer is C, the circumference is 313 mi and the area is 7,790 mi^2.

Find the Circumference and the Area of the Circle