Sector P has radius 8 cm and central angle 120°

MATHEMATICS · Single correct · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles

Problem

Sector P has radius 8 cm and central angle 120°, while sector Q has radius 12 cm and central angle 90°. Which of the following statements is true regarding their areas? (a) Sector Q is larger by 44π3 cm2\dfrac{44\pi}{3}\text{ cm}^{2}. (b) Sector Q is larger by 88π3 cm2\dfrac{88\pi}{3}\text{ cm}^{2}. (c) Sector P is larger by 44π3 cm2\dfrac{44\pi}{3}\text{ cm}^{2}. (d) Sector Q is larger by 15π cm215\pi\text{ cm}^{2}.

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