If the area of a sector of a circle bounded by an arc of length 5π cm is equal to 20π cm², then the radius of the circle
(a)12 cm
(b)16 cm
(c)8 cm
(d)10 cm
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Answered by
73
Answer:
The Radius of a circle is 8 cm.
Among the given options option (c) 8 cm is the correct answer.
Step-by-step explanation:
Given :
Area of the sector of a circle = 20π cm ²
Length of the Arc , l = 5π cm
Area of the sector of a circle = ½ lr
20π = ½ × 5π × r
20 × 2 = 5r
40 = 5r
r = 40/5
r = 8 cm
Radius of a circle = 8 cm
Hence, the Radius of a circle is 8 cm.
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this is ur answer. Hope u got it
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