CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard
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CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard
Last updated at Dec. 13, 2024 by Teachoo
Transcript
Question 24 (Choice 2) In the given figure, arcs have been drawn of radius 7cm each with vertices A, B, C and D of quadrilateral ABCD as centres. Find the area of the shaded region.Given Radius of arc = r = 7 cm Now, Area of the shaded region = Area of sector at point A + Area of sector at point B + Area of sector at point C + Area of sector at point D = (∠ 𝐴)/(360°) × 𝜋𝑟^2+(∠ 𝐵)/(360°) " × " 𝜋𝑟^2+(∠ 𝐶)/(360°) " × " 𝜋𝑟^2+(∠ 𝐷)/(360°) " × " 𝜋𝑟^2 = 1/(360°) × 𝜋𝑟^2 (∠ 𝐴+∠ 𝐵+∠ 𝐶+∠ 𝐷) Since ABCD is a quadrilateral Sum of angles = 360° ∴ ∠ 𝐴+∠ 𝐵+∠ 𝐶+∠ 𝐷 = 360° = 1/(360°) × 𝜋𝑟^2 × 𝟑𝟔𝟎° = 𝜋𝑟^2 Putting r = 7 cm = 22/7 × 7^2 = 22 × 7 = 154 cm2
