Question

In circle P, diameter QS measures 20 centimeters.

Circle P is shown. Line segment Q S is a diameter. Line segment R P is a radius. Angle R P S is 123 degrees.

What is the approximate length of arc QR? Round to the nearest tenth of a centimeter.

9.9 centimeters
19.9 centimeters
21.5 centimeters
43.0 centimeter

Answer 1

The approximate length of arc QR to nearest tenth is 9.9cm

Length of an arc

The formula for calculating the length of an arc is expressed as:

L = r theta

where

r is the radius of an arc = 20cm/2 = 10cm

theta = 180 - 123 = 57 degrees

Determine the length of an arc

L = 10(57π/180)
L = 57π/18
L = 9.94cm

Hence the approximate length of arc QR to nearest tenth is 9.9cm

Learn more on length of an arc here: https://brainly.com/question/2005046

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Answer 2

Answer:

9.9

Step-by-step explanation: