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Date:___________________

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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.

Name: ___________________

Date:___________________

Grade 8 - Mathematics
3.41 Ring - II

Q 1: 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.
92.4 Sq. mt.
924.56 Sq. mt.
9.24 Sq. mt.
924 Sq. mt.

Q 2: The area of circular park is 3850 square metres. A path of width 0.7 metres is laid around and inside of it. Find the area of the path.
152.46 Sq. mt.
1524 Sq. mt.
15246 Sq. mt.
1524.6 Sq. mt.

Q 3: 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.
4250.4 Sq. mt.
4254 Sq. mt.
425.4 Sq. mt.
425.04 Sq. mt.

Q 4: The area of circular park is 6506.5 square metres. A path of width 10.5 metres is laid around and inside of it. Find the area of the path.
26565 Sq. mt.
2656.5 Sq. mt.
265.65 Sq. mt.
2656 Sq. mt.

Q 5: 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.
13475 Sq. mt.
1347.5 Sq. mt.
1347 Sq. mt.
134.75 Sq. mt.

Q 6: 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.
3557.4 Sq. mt.
35574 Sq. mt.
355.74 Sq. mt.
35.574 Sq. mt.

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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