Question

Find the length of the radius of the circle.

A)
2 inches
B
B)
3 inches
)
6 inches
D)
8.5 inches

Answer 1

By Pythagoras theorem, we get

`{x}^(2) + {x}^(2) = {( √(72)) }^(2) \\ 2 {x}^(2) = 72 \\ {x}^(2) = 36 \\ \boxed{x = 6}`

C) 6 inches is the right answer.

Answer 2

C) 6 inches

Explanation:

(√72)² = x² + x²

72 = 2x²

72/2 = x²

36 = x²

√36 = √x²

6 = x

x = 6 inches