you are given a sector which subtends an angle of 70° at the centre of the circle with radius 21cm find the length of the arc and area of the given sector
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Answer:
Given : angle A= 70°
r= 21cm
area of sector = (A×πr²)/360
= [70×(22/7)×21×21]/360
= [70×22×21×21]/360×7
= 10×22×21×21/360
= 22×21×21/36
= 11×7×7/2
= (11×49)/2 cm²
= 589/2 cm²
length of the arc = (A×2πr)/360
= [70×2(22/7)×21]/360
= [10×22×21]/360
= [22×21]/36
= 11×7/6
= 77/6 cm
Step-by-step explanation:
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