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India
Class X

Area Composite Shapes

Interactive practice questions

Find the shaded area of the figure shown.

A blue-shaded composite figure is formed by a rectangle with two identical right-angled triangles removed from the top-right and bottom-left corners. The bottom side of the composite figure measures $11$11 units as indicated by a horizontal dimension line. The right side of the composite figure measures $5$5 units as indicated by a vertical dimension line. The cut-out identical triangles are outlined in dashed lines. The horizontal side of each triangle, which is also the base, is marked with a double tick mark. The vertical side of each triangle, which is also the height, is marked with a single tick mark. The right vertical side of the top-right triangle measures $6$6 units. The bottom horizontal side of the bottom-left triangle measures $10$10 units. The right angle of each triangle is marked with a small green-shaded square.

Easy
2 min

Find the area of the arch below.

Easy
3 min

Find the area of the shape below. Any curved shape is part of a circle.

Easy
4 min

Find the area of the shape below. Any curved shape is part of a circle

Easy
2 min
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Outcomes

10.M.AC.1

Area of a circle, sectors and segments. Problems based on areas and perimeter/circumference of the above said plane figures. Restrict to central angles of 60, 90 and 120 degrees and plain figures of triangles, simple quadrilaterals and circles.

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