Question

This diagram shows a circle with an inscribed right triangle and some of its measurements in units.

Based on the diagram what is the circumference in units of the circle

Answer 1

B

Explanation:

the hypotenuse of the right triangle is the diameter d of the circle

Using Pythagoras' identity in the right triangle

d² = 6² + 8² = 36 + 64 = 100 ( take square root of both sides )

d =
`√(100)` = 10

the circumference (C) of a circle is calculated as

C = πd = π × 10 = 10π