Advertisements
Advertisements
Question
From a circular card sheet of radius 14 cm, two circles of radius 3.5 cm and a rectangle of length 3 cm and breadth 1 cm are removed. (as shown in the following figure). Find the area of the remaining sheet. (Take `pi = 22/7`)
Advertisements
Solution
Area of bigger circle = `22/7 xx 14 xx 14`
= 616 cm2
Area of 2 small circles = `2 xx pir^2`
= `2 xx 22/7 xx 3.5 xx 3.5`
= 77 cm2
Area of rectangle = Length × Breadth
= 3 × 1
= 3 cm2
Remaining area of sheet = 616 - 77 - 3
= 536 cm2
APPEARS IN
RELATED QUESTIONS
In Figure 5, a circle is inscribed in a triangle PQR with PQ = 10 cm, QR = 8 cm and PR =12 cm. Find the lengths of QM, RN and PL ?
Prove that the area of a circular path of uniform width h surrounding a circular region of radius r is `pih(2r+h)`
Find the area of minor segment of a circle of radius 14 cm, when the angle of the corresponding sector is 600 .
In the following figure, there are three semicircles, A, B and C having diameter 3 cm each, and another semicircle E having a circle D with diameter 4.5 cm are shown. Calculate:
(i) the area of the shaded region
(ii) the cost of painting the shaded region at the rate of 25 paise per cm2 , to the nearest rupee.
The ratio of the outer and inner perimeters of a circular path is 23 : 22. If the path is 5 metres wide, the diameter of the inner circle is
A chord of a circle of radius 14 cm a makes a right angle at the centre. Find the area of the sector.
A square tank has an area of 1600 cm2. There are four semicircular plots around it. Find the cost of turfing the plots at Rs 12.50 per m2
A roller has a diameter of 1.4 m. Find :
(i) its circumference ;
(ii) the number of revolutions it makes while travelling 61.6 m.
A 7m wide road surrounds a circular garden whose area is 5544m2. Find the area of the road and the cost of tarring it at the rate of Rs.150 per m2.
In figure, AB is a diameter of the circle, AC = 6 cm and BC = 8 cm. Find the area of the shaded region (Use π = 3.14).
