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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Geometry
4.22 The Area of a Circular Path - III

Example:
The area of circular park is 2464 square metres. A path of width 7 metres is laid around and inside of it. Find the area of the path.

Solution:
The area of the circular part of the outer ring. Let its radius be R metres.
So, pR2 = 2464
R2 = 7/22 * 2464
R2 = 7 * 112
R2 = 784
Taking square root on both sides.
R = 28
Let the radius of the inner ring be r metres.
Therefore, R - r = 7
So, r = R - 7
r = 28 - 7
r = 21
Therefore, the area of the circular path = p(R + r)(R - r)
= 22/7 * 49 * 7
= 12166/7
= 1738 square metres.


Directions: Read the above example carefully and answer the following questions. Also write 10 examples of your own.
Q 1: The area of circular park is 1386 square metres. Find the width of the path laid around and inside of the circular park if the area of the path is given by 1377.5 sq m .
17.5 m
18 m
15.5 m
16.34 m

Q 2: The area of circular park is 5544 square metres. Find the width of the path laid around and inside of the cirular path if the area of the path is given by 714.56 square metres.
5 m
5.8 m
1.8 m
2.8 m

Q 3: The area of circular park is 616 square metres. A path of width 4.9 metres is laid around and inside of it. Find the area of the path.
355.74 sq m
255.74 sq m
354.75 sq m
355.76 sq m

Q 4: A path of width 1.4 metres is laid around and inside of a circular park. Find the area of the circular park if the area of the path is given by 425.04 square metres.
7534 sq m
7189 sq m
7546 sq m
7054 sq m

Q 5: The area of circular park is 154 square metres. A path of width 3.5 metres is laid around and inside of it. Find the area of the path.
120.5 sq m
105.5 sq m
110.5 sq m
115.5 sq m

Q 6: The area of circular park is 3850 square metres. Find the width of the path laid around and inside of the circular park if the area of the path is given by 3876 square metres.
0.07 m
0.007 m
0.7 m
7 m

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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