Advertisements
Advertisements
प्रश्न
Find the area of the shaded portion in a circle whose radius is 7 cm (see figure).
[Hint: Four right-angled triangles joined at right angles to form a square]
Advertisements
उत्तर
Given that ABCD is a square
According to the question,
Area of square ABCD = 4 × Area of a right-angled triangle
∴ Area of square ABCD = 4 × Area of ΔAOB
= `4 xx (1/2 xx AO xx BO)` ...`[∵ "Area of a right angled triangle" = 1/2 xx "Base" xx "Height"]`
= 2 × 7 × 7
= 98 cm2 ...[∵ AO = BO = radius of circle = 7 cm, given]
Hence, the area of inscribed square is 98 cm2.
Area of shaded portion = Area of circle – Area of square
= πr2 – 98
= `22/7 xx 7 xx 7 - 98`
= 154 – 98
= 56 cm2
APPEARS IN
संबंधित प्रश्न
The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth. Also find the area.
The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30 cm, find its length. Also find the area of the rectangle.
A door of length 2 m and breadth 1 m is fitted in a wall. The length of the wall is 4.5 m and the breadth is 3.6 m (see the given figure). Find the cost of white washing the wall, if the rate of white washing the wall is Rs 20 per m2
The length of the side of the square is given below. Find its area.
18 cm
its area is ____________ square cm.
How many square slabs each with side 90 cm are needed to cover a floor of area 81 sq m.
The length of a rectangular field is 8 m and breadth is 2 m. If a square field has the same perimeter as this rectangular field, find which field has the greater area.
Five square flower beds each side 1 m are dug on a piece of land 5 m long and 4 m wide. What is the area of the remaining part of the land?
12 m2 is the area of ______.
What will be the area of the largest square that can be cut out of a circle of radius 10 cm?
