CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard
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CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard
Last updated at August 12, 2026 by Teachoo
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![[SQP] Find the area of the unshaded region shown in the given figure. - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard](https://cdn.teachoo.com/40a9feeb-8461-4e70-bf43-80f6b4ce6120/slide66.jpg)
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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
