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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 8 - Mathematics
3.41 Ring - II

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: Solve the following problems. Also write at least ten examples of your own.
Q 1: 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.
115 Sq. mt.
1155 Sq. mt.
115.5 Sq. mt.
125.5 Sq. mt.

Q 2: The area of circular park is 1386 square metres. A path of width 17.5 metres is laid around and inside of it. Find the area of the path.
1347 Sq. mt.
134.75 Sq. mt.
1347.5 Sq. mt.
13475 Sq. mt.

Q 3: The area of circular park is 5544 square metres. A path of width 2.8 metres is laid around and inside of it. Find the area of the path.
7146 Sq. mt.
71456 Sq. mt.
714.56 Sq. mt.
7145.6 Sq. mt.

Q 4: 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.
35574 Sq. mt.
355.74 Sq. mt.
3557.4 Sq. mt.
35.574 Sq. mt.

Q 5: The area of circular park is 7546 square metres. A path of width 1.4 metres is laid around and inside of it. Find the area of the path.
4254 Sq. mt.
4250.4 Sq. mt.
425.04 Sq. mt.
425.4 Sq. mt.

Q 6: The area of circular park is 1886.5 square metres. A path of width 7 metres is laid around and inside of it. Find the area of the path.
924 Sq. mt.
9.24 Sq. mt.
92.4 Sq. mt.
924.56 Sq. mt.

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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