if the sector of a circle has an angle 60degree at the centre and its area 20cm^2 then find the area of the same circle
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if the sector of a circle has an angle 60degree at the centre and its area 20cm^2 then find the area of the same circle
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Answer:
the area of the circle is 119.645 cm ∧2
Step-by-step explanation:
theta of the respective sector = 60 degree
area of the sector = 20 cm∧2
theta / 360 × π r∧2 = 20
60 / 360 × 22/ 7 × r ∧2 = 20
1 /6 × 22/ 7×r∧2 = 20
r∧2 = 20 × 6 ×7 / 22
r =√ 420 / 11
r = 6.17 cm
the area of the circle ,
= π r∧2
= 22/7 × 6.17 ×6.17
= 837.5158/ 7
= 119.645 cm∧2
thus the area of the circle is 119. 645 cm∧2