please solve this ques in the attachment
Areas related to Circles chapter
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to find area of shaded region:
area of semicircle with diameter ab-(areas of semicircle with diameter ad and be resp)+area of semicircle with diameter 7cm.
area of semicircle with diameter ab-(areas of semicircle with diameter ad and be resp)+area of semicircle with diameter 7cm.
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Answer:
14 cm, 86.625 cm²
Step-by-step explanation:
We know that length of arc of semicircle = (1/2) * π * Diameter
(i) Length of boundary:
= (1/2) * π * (14 + 7 + 2 * 7/2)
= (1/2) * π * (21 + 7)
= (1/2) * (22/7) * 28
= 14 cm.
(ii) Area of shaded region:
= (1/2) * π * [7² + (7/2)² - 2 * (7/4)²]
= (1/2) * π * [441/8]
= (1/2) * 22/7 * 441/8
= 86.625 cm²
Hope it helps!
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