Advertisements
Advertisements
Question
What will be the area of the largest square that can be cut out of a circle of radius 10 cm?
Options
100 cm2
200 cm2
300 cm2
400 cm2
Advertisements
Solution
200 cm2
Explanation:
Given, radius of circle = 10 cm
The largest square that can be cut out of a circle of radius 10 cm will have its diagonal equal to the diameter of the circle.
Let the side of a square be x
Then, area of the square = x × x = x2 cm2 ...[∵ Area of square = (Side)2]
Now, In right-angled ΔDAB,
(BD)2 = (AD)2 + (AB)2 ...[By Pythagoras theorem]
∵ (20)2 = x2 + x2 ...[∵ Diagonal and diameter = 2 × radius = 2 × 10 = 20 cm]
⇒ 2x2 = 400
⇒ x2 = 200
∴ (Side)2 = 200
Hence, the area of the largest square is 200 cm2.
APPEARS IN
RELATED QUESTIONS
Find the area of a square plot of side 8 m.
Divide the figure given alongside four parts in such a way that the area and shape of each part are the same. Colour the parts in different colours.
The length of the side of a square is given below. Find its area
15 metres
Look at these interesting stamps.
Which stamp has the biggest area? How many squares of side 1 cm does this stamp cover? How much is the area of the biggest stamp? square cm.
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.
Find the area of the square whose sides are:
10 cm
Area of the square MNOP of the given figure is 144 cm2. Area of each triangle is ______.
Area of a square of side 6 m is equal to the area of ______ squares of each side 1 cm.
Find the area of a square field with side 14 cm.
If a square has an area of 36 sq cm, what is the length of its side?
