You are given a sector which subtends an angle of 70° at the centre of the circle
with radius 21 cm Find the length of the arc and area of the given sector.
Answers
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
Answer:
26.4cm
Step-by-step explanation:
Circumference = 2pi r = 2*(22/7)*21 =132 cm
Length of arc subtending 72 deg at the centre = 132*72/360 = 26.4 cm.