Advertisements
Advertisements
प्रश्न
Find the area of a square inscribed 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.
APPEARS IN
संबंधित प्रश्न
Find the breadth of a rectangular plot of land, if its area is 440 m2 and the length is 22 m. Also find its perimeter.
The area of a square park is the same as of a rectangular park. If the side of the square park is 60 m and the length of the rectangular park is 90 m, find the breadth of the rectangular park.
The length of the side of the square is given below. Find its area.
18 cm
The length of the side of a square is given below. Find its area
10 metres
Look at these interesting stamps.
The area of the smallest stamp is ______ square cm.
The difference between the area of the smallest and the biggest stamp is ______ square cm.
A wire is cut into several small pieces. Each of the small pieces is bent into a square of side 2 cm. If the total area of the small squares is 28 square cm, what was the original length of the wire?
Find the area of the square whose sides are:
10 cm
Find the area of the square whose sides are:
5 m
If p squares of each side 1 mm makes a square of side 1 cm, then p is equal to ______.
A square tile of length 20 cm has four quarter circles at each corner as shown in the following figure (i). Find the area of shaded portion. Another tile with same dimensions has a circle in the centre of the tile [see figure (ii)]. If the circle touches all four sides of the square tile, find the area of the shaded portion. In which tile, area of shaded portion will be more? (Take π = 3.14)
 |
 |
| (i) | (ii) |
