## In a circle with radius 2cm, a sector area has πcm². What’s the measure of the arc of the sector?​

Question

In a circle with radius 2cm, a sector area has πcm². What’s the measure of the arc of the sector?​

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1 week 2021-07-22T17:07:24+00:00 1 Answers 7 views 0

1. Step-by-step explanation:

Hey mate !!

Given :

The angle between the arc = 30°

To find :

Area of sector = ?

Proof :

We know that,

Area of sector = Ф / 360° * πr²

Here Ф = 30°, r = 7 cm, π = 22 / 7

Substituting them in the formula we get,

= Area of sector = 30° / 360° * 22 / 7 * 7 * 7

=> Area of sector = 1 / 12 * 22 * 7

=> Area of sector = 154 / 12

=> Area of sector = 12.83 cm²