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STatiana [176]
4 years ago
14

What the solution? How do you do this?

Mathematics
1 answer:
Gre4nikov [31]4 years ago
6 0

Answer:

8 * pi or about 25.13274123

Step-by-step explanation:

The inscribed angle = 1/2 the intercepted arc

40 = 1/2 ( arc  CD)

Multiply each side by 2

2 * 40 = 2*  1/2 ( arc  CD)

80 = arc CD

To find the length

We find the circumference of the circle

C = 2 * pi *r

C = 2 *pi *18 = 36 pi

Take the fraction of a circle the arc is

80/360 = 2/9

Multiply the circumference by the  fraction

2/9* 36 pi

8 pi

If we approximate pi

8 * pi=25.13274123

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