Question 1. Perimeter of a sector of a circle whose central angle is 90° and radius 7 cm is
A.25 cm
B. 27 cm
C.77 cm
D.7 cm
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7
Answer:
= 14 +11 = 25 cm
Step-by-step explanation:
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GIVEN:-
- Central Angle = 90°
- Radius = 7 cm
TO FIND:-
- The Perimeter Of The Sector Of Circle
SOLUTION:-
As we know that the perimeter of a sector of a Circle is given by,
⇒ Perimeter = ϴ/360° × 2πr + 2r
- ϴ = Central angle.
- r = Radius.
- π = 22/7.
⇒ Perimeter = 90°/360° × 2 × 22/7 × 7 + 2 × 7
⇒ Perimeter = 1/4 × 2 × 22 + 14
⇒ Perimeter = 1/4 × 44 + 14
⇒ Perimeter = 11 + 14
⇒ Perimeter = 25
Hence the perimeter of the sector of the Circle is 25 cm
Option ( b ).
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