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The diagram shows a sector of a circle with a radius of 10 cm. Find the perimeter of the sector, giving your answer correct to 1 decimal place.

A. 31.4 cm
B. 62.8 cm
C. 94.2 cm
D. 125.6 cm

Answer :

The calculated perimeter of the sector is 43.55 cm

How to determine the perimeter of the sector

From the question, we have the following parameters that can be used in our computation:

Radius of sector r = 10 cm

Angle Ф = 135°

The perimeter of the sector is calculated as

P = L + 2r

Where

L = Ф/360 * 2πr

So, we have

L = 135/360 * 2 * 3.14 * 10

L = 23.55

Next, we have

P = 23.55 + 2 * 10

P = 43.55

Hence, the perimeter of the sector is 43.55 cm

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Rewritten by : Jeany