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The area of the quadrant of a circle whose circumference is 22 cm, will be;1. 3.5 cm22. 38.5 cm23. 10 cm24. 9.625 cm2 |
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Answer» Correct Answer - Option 4 : 9.625 cm2 Given: Circumference of the circle = 22 cm Formula used: Circumference = 2πr Area of a circle = πr2 Area of the quadrant = (πr2 × 1/4) r = Radius of the circle Calculation: 2πr = 22 ⇒ πr = 11 ⇒ 22/7 × r = 11 ⇒ r = 3.5 Area of the circle = πr2 ⇒ 22/7 × 7/2 × 7/2 ⇒ 154/4 ⇒ Area of the quadrant = 154/4 × 1/4 ⇒ 154/16 ⇒ 9.625 ⇒ Area of the quadrant = 9.625 cm2 ∴ Area of the quadrant is 9.625 cm2 |
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