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Grade 7 - Mathematics
9.21 Perimeter of a Sector

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

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 16.8 cm. Find its area if the perimeter of the sector is given by 17.6 cm.
186.61 sq cm
187.13 sq cm
148.25 sq cm
147.84 sq cm

Q 2: The area of a sector is 985.6 sq cm. Find the radius if the perimeter of the sector is given by 126.4 cm.
28 cm
22 cm
24 cm
17 cm

Question 3: This question is available to subscribers only!

Question 4: This question is available to subscribers only!

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