← Back to chapters
Areas Related to Circles
Previous Year Questions (2022-2024)
Year 2022
- Find area of sector of radius 14 cm with angle 60°. Also find perimeter.
Show Solution
Area = 60360 x 227 x 142 = 16 x 227 x 196\n= 16 x 616 = 102.67 cm2\nPerimeter = 2r + theta360 x 2πr\n= 28 + 16 x 2 x 227 x 14 = 28 + 14.67 = 42.67 cm - A chord subtends 90° at center of circle radius 14 cm. Find area of corresponding minor segment.
Show Solution
Area of sector = 90360 x π x 196 = 49π cm2\nArea of triangle = 12 x 14 x 14 = 98 cm2\nArea of minor segment = 49π - 98 = 49(227 - 2) = 49(22-147) = 49 x 87 = 56 cm2
Year 2023
- Find area of sector of radius 14 cm with angle 60°. Also find perimeter.
Show Solution
Area = 60360 x 227 x 142 = 16 x 227 x 196\n= 16 x 616 = 102.67 cm2\nPerimeter = 2r + theta360 x 2πr\n= 28 + 16 x 2 x 227 x 14 = 28 + 14.67 = 42.67 cm - A chord subtends 90° at center of circle radius 14 cm. Find area of corresponding minor segment.
Show Solution
Area of sector = 90360 x π x 196 = 49π cm2\nArea of triangle = 12 x 14 x 14 = 98 cm2\nArea of minor segment = 49π - 98 = 49(227 - 2) = 49(22-147) = 49 x 87 = 56 cm2
Year 2024
- Find area of sector of radius 14 cm with angle 60°. Also find perimeter.
Show Solution
Area = 60360 x 227 x 142 = 16 x 227 x 196\n= 16 x 616 = 102.67 cm2\nPerimeter = 2r + theta360 x 2πr\n= 28 + 16 x 2 x 227 x 14 = 28 + 14.67 = 42.67 cm - A chord subtends 90° at center of circle radius 14 cm. Find area of corresponding minor segment.
Show Solution
Area of sector = 90360 x π x 196 = 49π cm2\nArea of triangle = 12 x 14 x 14 = 98 cm2\nArea of minor segment = 49π - 98 = 49(227 - 2) = 49(22-147) = 49 x 87 = 56 cm2