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Grade 7 - Mathematics
9.21 Perimeter of a Sector

Example:
The area of a sector whose radius is 8 cm is 120 sq cm. Find the perimeter of the sector.

Solution:
Given that,
A = 120 sq cm and r = 8 cm.
Formula A = lr/2
l = 2A/r
l = (2*120) / 8
Therefore, l = 30 cm.
Hence the perimeter of the sector = r + r + l
= 8 + 8 + 30
= 46 cm.


Directions: Read the above example carefully and answer the following questions. Also make 10 different examples of your own.
Q 1: The radius of a sector is 7 cm. Find the area of a sector if the perimeter of the sector is given by 64 cm.
166 sq cm
156 sq cm
154 sq cm
175 sq cm

Q 2: The area of a sector whose radius is 8.4 cm is 83.16 sq cm. Find the perimeter of the sector.
26.6 cm
36.6 cm
36 cm
26 cm

Question 3: This question is available to subscribers only!

Question 4: This question is available to subscribers only!


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