Question
Download Solution PDFThe area of a sector of a circle is 308 cm2, with the central angle measuring 45°. The radius of the circle is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The area of a sector of a circle is 308 cm2
The angle of the sector is 45°
Concept used:
Area of a sector = πr2 × θ/360°
θ = angle of the sector
r = radius
Calculation:
According to the question,
⇒ πr2 = 308 × 8
⇒ 22/7 × r2 = 2464
⇒ r2 = 784
⇒ r = 28cm
So, radius = 28 cm
∴ The radius of the circle is 28 cm.
Last updated on Jul 10, 2025
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