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in Areas Related To Circles by (49.3k points)
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If radius of a sector is 7 cm and its perimeter is 2.5 cm. Then find its area.

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Best answer

Area of sector

= 2 × radius + length of the arc = 25

Length of the arc = 25 – 2 × radius = 25 – 14 = 11 cm

Let us check the ratio between the length of the arc and its area

The length of the arc: Area of the sector

11 : area of the sector = 2:7

Area of two sectors =7 × 11

Area of the. sector = \(\frac{7\times11}{2}\) = 38.5 cm2

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