Question
Download Solution PDFThe area of a sector of a circle is 66 cm2 and the angle of the sector is 60°. Find the radius of the circle.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The area of a sector of a circle is 66 cm2 and the angle of the sector is 60°
Concept used:
Area of a sector = πr2 × θ/360°
θ = angle of the sector
r = radius
Calculation:
According to the question,
⇒ πr2 = 66 × 6
⇒ 22/7 × r2 = 6 × 11 × 6
⇒ r2 = 126
⇒ r = 3
So, radius = 3
∴ The radius of the circle is 3
Last updated on Jul 16, 2025
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