The image below is a triangle drawn inside a circle with center O: (5 points)

A triangle is shown inscribed inside a circle. The leg of the triangle labeled 8 inches passes through the center of the circle, O. The other two legs are labeled as 4 inches and 5 inches.
Which of the following expressions shows the area, in square inches, of the circle? 3.14 ⋅ 42

3.14 ⋅ 52

3.14 ⋅ 5

3.14 ⋅ 22

1 answer

3.14 ⋅ 52

To find the area of the circle, we use the formula A = πr^2, where r is the radius of the circle. In this case, the radius is equal to half of the leg passing through the center, so the radius is 8/2 = 4 inches. Substituting this value into the formula, we get:

A = 3.14 ⋅ 4^2
A = 3.14 ⋅ 16
A = 3.14 ⋅ 52

Therefore, the correct expression is 3.14 ⋅ 52.