The given figure shows a rectangle ABCD and a right triangle BOC. Find the area of the shaded portion.

Given: Length of rectangle = 20 cm Breadth of rectangle = 10 cm Height of triangle = 8 cm Hypotenuse of triangle = 10 cm Applying pythagoras theorem in triangle COB, we get: BC 2 = OB 2 \+ OC 2 ⇒ (10) 2 = OB 2 \+ (8) 2 ⇒ 100 = OB 2 \+ 64 ⇒ OB 2 = 100 \- 64 ⇒ OB 2 = 36 ⇒ OB = ⇒ OB = 6 cm Area of shaded figure = area of rectangle \- area of triangle As we know that area of rectangle = length x breadth And, area of the triangle = x base x height So, Area Hence, the area of the shaded portion is 176 cm 2 .

The shape of a garden is rectangular in the middle and semicircular at each end as shown in the figure. Find the area and perimeter of the garden.

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Each side of rhombus is 13 cm and one of its diagonals is 10 cm. Find :
(i) the length of its other diagonal
(ii) its area.

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Find the area of the circle whose circumference is 264 cm.

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Find the circumference of a circle whose area is 1386 cm².

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Mathematics

The given figure shows a rectangle ABCD and a right triangle BOC. Find the area of the shaded portion.

Area Trapezium Polygon

Related Questions

The shape of a garden is rectangular in the middle and semicircular at each end as shown in the figure. Find the area and perimeter of the garden.

Each side of rhombus is 13 cm and one of its diagonals is 10 cm. Find :
(i) the length of its other diagonal
(ii) its area.

Find the area of the circle whose circumference is 264 cm.

Find the circumference of a circle whose area is 1386 cm².

Mathematics

The given figure shows a rectangle ABCD and a right triangle BOC. Find the area of the shaded portion.

Area Trapezium Polygon

Related Questions

The shape of a garden is rectangular in the middle and semicircular at each end as shown in the figure. Find the area and perimeter of the garden.

Each side of rhombus is 13 cm and one of its diagonals is 10 cm. Find :(i) the length of its other diagonal(ii) its area.

Find the area of the circle whose circumference is 264 cm.

Find the circumference of a circle whose area is 1386 cm2.

Each side of rhombus is 13 cm and one of its diagonals is 10 cm. Find :
(i) the length of its other diagonal
(ii) its area.

Find the circumference of a circle whose area is 1386 cm².