The perimeter of a sector of a circle of radius 5.2cm is 16.4cm. Find the area of the sector.
Answers
Answered by
490
Let AOB be the given sector.
Given,
Radius of circle r = 5.2 cm
Perimeter of sector AOB = 16.4 cm
So, OA + OB + Arc AB = 16.4 cm
5.2 + 5.2 + Arc AB = 16.4 cm
Arc AB = 6 cm
l = Arc length AB
= 6 cm
Area of sector AOB = 1/2 * r * l
= 1 / 2 * 5.2 x 6
= 15.6 cm² Ans.
Given,
Radius of circle r = 5.2 cm
Perimeter of sector AOB = 16.4 cm
So, OA + OB + Arc AB = 16.4 cm
5.2 + 5.2 + Arc AB = 16.4 cm
Arc AB = 6 cm
l = Arc length AB
= 6 cm
Area of sector AOB = 1/2 * r * l
= 1 / 2 * 5.2 x 6
= 15.6 cm² Ans.
Answered by
20
Answer:
15 .6
Step-by-step explanation:
r=5.2
perimeter =16.4
area of circle
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