Question

Find the exact circumference of the circle.

Options:
10π cm
11π cm
12π cm
​

Answer 1

Find the hypotenuse of the triangle using Pythagorean Theorem:
6^2 + 8^2 = c^2
c = 10

The diameter of the circle is equal to the hypotenuse of the triangle, so:
d = c = 10

The radius of the circle is half of the diameter:
r = (1/2) d = (1/2) 10 = 5

Using r, find the circumference:
C = 2*pi*r = 2*pi*5 = 10*pi

So the answer is 10 pi cm.

Answer 2

10π cm

Explanation:

C = πd

First, we find the hypotenuse of the triangle which is the diameter of the circle.

a² + b² = c²

6² + 8² = c²

c² = 100

c = 10

d = 10 cm

C = πd

C = 10π cm