Advertisements
Advertisements
Question
The sum of the circumference and diameter of a circle is 116 cm. Find its radius.
Advertisements
Solution
Let r be the radius of the circle.
2πr + 2r = 116
2r( π + 1) = 116
r = `116 / (2 (π + 1 )`
= 14 cm
APPEARS IN
RELATED QUESTIONS
In Fig. 6, find the area of the shaded region, enclosed between two concentric circles of radii 7 cm and 14 cm where ∠AOC = 40°. (use `pi = 22/7`)

In Fig. 3, APB and AQO are semicircles, and AO = OB. If the perimeter of the figure is 40 cm, find the area of the shaded region [Use `pi=22/7`]

The outer circumference of a circular race track is 528m. The track is everywhere 14m
wide. Calculate the cost of leveling the track at rate of 50 paise per square metre.
The circumferences of two circles are in the ratio 2: 3. What is the ratio between their areas?
The wheels of a car make 2500 revolutions in covering a distance of 4.95 km. Find the diameter of a wheel.
Find the area and perimeter of the following semi-circle :
Diameter= 7 cm
A canvas tent is in the shape of a cylinder surmounted by a conical roof. The common diameter of the cone and the cylinder is 14 m. The height of the cylindrical part is 8 m and the height of the conical roof is 4 m. Find the area of the canvas used to make the tent.
Find the circumference of a circle whose area is 81πcm2.
The moon is about 384000 km from earth and its path around the earth is nearly circular. Find the length of path described by moon in one complete revolution. (Take π = 3.14)
The circumferences of two circles are in the ratio 4 : 5. What is the ratio of their radii?
