Question

The image below is a triangle drawn inside a circle with center O: 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? (π = 3.14) 3.14 ⋅ 42 3.14 ⋅ 52 3.14 ⋅ 5 3.14 ⋅ 22

Answer 1

The area of a circle is given in terms of its radius by
  A = π · r²

Your circle has r=4 (half the diameter) and you want π=3.14. Using these values in the formula gives
  A = 3.14 · 4²

This matches your first selection
  3.14 · 4²

Answer 2

Answer:

A. $3.14*4^2$

Step-by-step explanation:

We have been given that a triangle is 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.

The leg with 8 inches length passes through the center, so it will be the diameter of the circle.

To find the area of the circle, we will divide diameter by 2 to find radius of circle.

$r=\frac{8}{2}$

$r=4$

$\text{Area of circle}=\pi r^2$

$\text{Area of circle}=3.14*4^2$

Upon looking at our given choices, we can see that option A is the correct choice.