A regular pentagon is inscribed in a circle with centre O, of radius 5 cm, as shown below

Question 1

What is the area of the shaded part of the circle?

(a) 2π cm²

(b) 4π cm²

(c) 5π cm2

(d) 10π cm²

Question 2

Correct answer is (d) 10π cm²

Explanation: The area of the circle is = πr² = π5² = 25 πcm²

The area of the pentagon is 5 x (1/2 x s x h) = 5 x (1/2 x 4.33 x 2.5) = 5 x 5.4125 = 27.0625 cm²

Therefore, the area of the shaded part of the circle is 25 π cm² - 27.0625 cm² = 10 π cm²

Expert · Answer 1 · 2023-10-25T13:01:45+0000

Correct answer is (d) 10π cm²

Explanation: The area of the circle is = πr² = π5² = 25 πcm²

The area of the pentagon is 5 x (1/2 x s x h) = 5 x (1/2 x 4.33 x 2.5) = 5 x 5.4125 = 27.0625 cm²

Therefore, the area of the shaded part of the circle is 25 π cm² - 27.0625 cm² = 10 π cm²

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