Advertisements
Advertisements
Question
Find the area enclosed by the following figure:

Advertisements
Solution

The given shape contains a semi-circle and a triangle.
Area of semi-circle
= `1/2 πr^2`
= `1/2 xx 22/7 xx 10 xx 10`
= `1100/7`cm2
Area of triangle
= `1/2` × Base × Height
= `1/2 xx 20 xx 7`
= 70 cm2
Hence, total area enclosed by the shape
= `1100/7 + 70`
= `(1100 + 490)/7`
= `1590/7`
= 227 cm2 (approx)
APPEARS IN
RELATED QUESTIONS
Pragya wrapped a cord around a circular pipe of radius 4 cm (adjoining figure) and cut off the length required of the cord. Then she wrapped it around a square box of side 4 cm (also shown). Did she have any cord left? (π= 3.14)

The adjoining figure represents a rectangular lawn with a circular flower bed in the
middle. Find:
1) the area of the whole land
2) the area of the flower bed
3) the area of the lawn excluding the area of the flower bed
4) the circumference of the flower bed.

A rectangular park is 45 m long and 30 m wide. A path 2.5 m wide is constructed outside the park. Find the area of the path.
A path 5 m wide runs along inside a square park of side 100 m. Find the area of the path. Also, find the cost of cementing it at the rate of Rs. 250 per 10 m2.
Two crossroads, each of width 5 m, run at right angles through the center of a rectangular park of length 70 m and breadth 45 m and parallel to its sides. Find the area of the roads. Also, find the cost of constructing the roads at a rate of Rs. 105 per m2.
Find the area enclosed by the following figure:

Find the area enclosed by the following figure:

If the area of a rectangle is 45 cm² and its breadth is 10 cm, what is the length of the rectangle?
The perimeter of a square field is 112 m. What is the area of the square field?
The cost of flooring a room at ₹68 per square meter is ₹2040. If the length of the room is 7.5 m, what is the breadth?
