A sector of 120', cut out from a circle, has an area of (66/7) sq. Cm. Find the radius of the circle.
Answers
Answered by
1
Answer:
3 cm
Step-by-step explanation:
Given---->
---------
Angle of sector =120°
Area of sector =( 66/7) sq cm
To find---> Radius of circle
-----------
Solution--->
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Area of sector = π r² θ / 360
66/7 = π r² ×120/ 360
=> (66/7) × 1/π= r² × 1/3
=> 3 × (66/7)×(7/22) = r²
=> r² = 3 × 3
Taking square root of both sides
=> √r² =√(3×3)
=> r = 3 cm
Additional information--->
-----------------------------------
1) Area of circle = πr²
2)Circumference of circle= 2πr
3)Length of arc=(θ/360) 2πr
Answered by
22
3cm
#answerwithquality #bal
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