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Transcript

Area of unshaded region = 4 × (Area of semicircle with radius r) + Area of square with side a We note that r + r = a 2r = a a = 2r Also, 14 = 3 + r + a + r + 3 14 = 6 + 2r + a Putting a = 2r 14 = 6 + 2r + 2r 14 = 6 + 4r 14 − 6 = 4r 8 = 4r 4r = 8 r = 8/4 r = 2 Now, Area of semicircle Area of semicircle = 𝟏/𝟐 × π × 𝑟^2 = 𝟏/𝟐 × π × 22 = 2π cm2 Area of square Since a = 2r a = 2(2) = 4 cm Area of square = a2 = 42 = 16 cm2 Now, Area of unshaded region = 4 × (Area of semicircle with radius r) + Area of square with side a = 4 × 2π + 16 = (8π + 16) 〖𝒄𝒎〗^𝟐

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo