Calculate the area of the shaded region shown in the figure. (OC = 4cm, AC =3 cm)
B
60
3cm
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→ Area of the shaded region = (θ/360°)π(OA)² - (θ/360°)π(OC)²
→ Area = (θ/360°)π[OA² - OC²]
→ Area = (θ/360°)π[(4 + 3)² - 4²]
→ Area = (θ/360°)π[7² - 4²]
→ Area = (θ/360°) * π * (7 + 4) * (7 - 4)
→ Area = (60/360) * 3.14 * 11 * 3
→ Area = (1/6) * 3.14 * 11 * 3
→ Area = (3.14 * 11)/2
→ Area = 1.57 * 11
→ Area = 17.27 cm² (Ans.)
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