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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Geometry
4.21 The Area of a Circular Path - II

Example:
The radius of a circular path of garden is 60 metres. A circular path of width 3.5 metres is laid around and outside the garden. Find its area.

Solution:
We have given that,
r = 60 m and width of the path = 3.5 m.
So, the radius of the outer ring = 60 + 3.5
= 63.5 m.
Hence the area of the path = p (R+r)(R-r)
= 22/7 * (63.5 + 60)(3.5)
= 22/7 * 123.5 * 3.5
= 1358.5 sq m.


Directions: Read the above example carefully and answer the following questions. Also write at least 10 examples of your own.

Q 1: A circular path of width 17.5 m is laid around and outside the garden. Find the radius of the circular path if its area is given by 8662.5 sq m.
76 m
86 m
70 m
88 m

Q 2: The radius of a circular path of garden is 'a' m. A circular path of width 'b' m is laid around and outside the garden. Find its area.
(a + b)ap sq units
bpsq units
(a + b) psq units
abp sq units

Q 3: The radius of a circular path of garden is 64 m. Find the width laid around and outside a garden if its area is given by 5758.53 sq m.
12 m
13 m
10 m
15 m

Q 4: The radius of a circular path of garden is (325/5) m. A circular path of width (3.5/5) metres is laid around and outside the garden. Find its area.
2875.4 sq m
28.754 sq m
287.54 sq m
287.45 sq m

Q 5: A circular path of width 10.5 m is laid around and outside a garden. Find the radius of the circular path if its area is given by 3910.5 sq m.
54 m
100 m
62 m
58 m

Q 6: The radius of a circular path of garden is 30 m. Find the width laid around and outside the garden if its area is given by 552.64 sq m.
3.1 m
9 m
1.2 m
2.8 m

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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