Advertisements
Advertisements
Question
Diameter of the circular garden is 42 m. There is a 3.5 m wide road around the garden. Find the area of the road.
Solution
Diameter of the garden (d) = 42 m
Radius, r = 21 m
Diameter of the garden including the road = 42 + 3.5 + 3.5 = 49 m
Radius of the garden with the road = 24.5 m
Area of road = Area of garden with road − Area of garden
= πR2 = πr2
= π (R2 - r2)
= `22/7 ( (24.5)^2 - 21^2)`
= `22/7 xx (600.25 - 441)`
= `22/7 xx 159.25`
= 500.5 m2
RELATED QUESTIONS
The area of circle, inscribed in equilateral triangle is 154 cms2. Find the perimeter of
triangle.
A rectangular piece is 20m long and 15m wide from its four corners, quadrants of 3.5m radius have been cut. Find the area of remaining part.
Four equal circles, each of radius 5 cm touch each other as shown in fig. Find the area included etween them.
Find the area of the rhombus, the length of whose diagonals are 30 cm and 16 cm. Also, find the perimeter of the rhombus.
A horse is placed for grazing inside a rectangular field 70 m by 52 m. It is tethered to one corner by a rope 21 m long. On how much area can it graze? How much area is left ungrazed?
The speed of the car is 66 km/hour. If each wheel of the car is 140 cm in diameter, find the number of revolutions made by each wheel per minute.
The radius of two circles are in the ratio 3 : 5, find the ratio between their circumferences.
Using a ruler and compasses only:
(i) Construct a triangle ABC with the following data: AB = 3.5 cm, BC = 6 cm and ∠ ABC = 120°.
(ii) In the same diagram, draw a circle with BC as diameter. Find a point P on the circumference of the circle which is equidistant from AB and BC.
(iii) Measure ∠ BCP.
Find the circumference of a circle whose area is 81πcm2.
In reference to a circle the value of π is equal to ______.
