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Calculate the value of x to the nearest degree

Calculate the value of x to the nearest degree-example-1
User Sjkm
by
5.7k points

1 Answer

4 votes

Answer:

x = 61.3°

Explanation:

We are given the radius r = 9 cm and arc length l = 9.7 cm. We need to find the angle x in degrees.

The formula used is:

l = rФ

In our case Ф = x. So re writing the formula:

l= rx

9.7 = 9 x

=> x = 9.7 / 9

x = 1.07 radians

Converting radians into degree we need to multiply the value of x by

180/π where π = 3.14

x = 1.07 * 180/3.14

x = 61.3°

User Eric Pohl
by
5.8k points