Advertisements
Advertisements
प्रश्न
The ratio between the radius of two circles is 5 : 7. Find the ratio between their:
(i) circumference
(ii) areas
Advertisements
उत्तर
(i) The ratio of the radius of the circles = 5 : 7
Let radius of first circle = 5x
and radius of second circle = 7x
∴ Circumference of first circle = 2πr
= 2π × 5x = 10πx
and circumference of second circle
= 2π × 7x = 14πx
∴ Ratio between their circumference
= 10πx : 14πx
= 10 : 14 = 5 : 7
(ii) Area of first circle = πr2
= `22/7xx5"x"xx5"x"=550/7"x"^2`
and area of second circle = πr2
= `22/7xx7"x"xx7"x"=1078/7"x"^2`
Ratio between their areas
= `550/7"x"^2:1078/7"x"^2`
= 550 : 1078 ............(Dividing by 22)
= 25 : 49
APPEARS IN
संबंधित प्रश्न
In the figure given below, find the area of shaded region: (All measurements are in cm)
In the figure given below, find the area of shaded region: (All measurements are in cm)
In the figure given below, find the area of shaded region: (All measurements are in cm)
The base of a parallelogram is thrice it height. If its area is 768 cm2, find the base and the height of the parallelogram.
The area of a rhombus is 84 cm2 and its perimeter is 56 cm. Find its height.
The area of a right-angled triangle is 160 cm2. If its one leg is 16 cm long, find the length of the other leg.
The sides of a triangle are 21 cm, 17 cm, and 10 cm. Find its area.
Find the area of an isosceles triangle whose base is 16 cm and the length of each of the equal sides is 10 cm.
Find the base of a triangle whose area is 360 cm2 and height is 24 cm.
The area of an equilateral triangle is (`64xxsqrt3`) cm2. Find the length of each side of the triangle.
