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The radius of a circle is 14 cm and the measure of the central angle of a sector is 45°. Complete the following activity to find the area of the sector and the length of its arc. \(\left(\pi = \dfrac{22}{7}\right)\)Solution :Area of sector \(= \dfrac…

Q.2 (A)(3) The radius of a circle is 14 cm and the measure of the central angle of a sector is 45°. Complete the following activity to find the area of the sector and the length of its arc. \(\left(\pi = \dfrac{22}{7}\right)\)

Solution :

Area of sector \(= \dfrac{\theta}{360} \times\) ____
\(= \dfrac{45}{360} \times \dfrac{22}{7} \times 14 \times 14\)
\(=\) ____ cm2
Length of arc \(= \dfrac{\theta}{360} \times\) ____
\(= \dfrac{45}{360} \times 2 \times \dfrac{22}{7} \times 14\)
\(=\) ____ cm

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Answer: Area of sector = 77 cm2; length of arc = 11 cm

Area of sector \(= \dfrac{\theta}{360} \times \pi r^2 = \dfrac{45}{360} \times \dfrac{22}{7} \times 14 \times 14 = \dfrac{1}{8} \times 616 = 77\) cm2.

Length of arc \(= \dfrac{\theta}{360} \times 2\pi r = \dfrac{45}{360} \times 2 \times \dfrac{22}{7} \times 14 = \dfrac{1}{8} \times 88 = 11\) cm.

Blanks in order: \(\pi r^2\), 77, \(2\pi r\), 11.

Doubtly AI · 27 Oct 2026 AI-generated · not yet verified Report
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