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Calculate the radius of sector COD given the area relationship between sector AOB and sector COD.

Mathematics

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QUESTION 1

The formula for the area of a sector is A=θ360∘×πr2A = \frac{\theta}{360^\circ} \times \pi r^2.
Given:
Angle θ=60∘\theta = 60^\circ for both sectors.
Radius of sector AOB, R=15R = 15 cm.
Radius of sector COD, rr cm.
Area of AOB = 3 ×\times Area of COD.

A. The area of sector AOB

Step 1: Substitute the given values into the area formula for sector AOB.

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