SSC (English Medium) Class 10th Board ExamMaharashtra State Board
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# Choose the Correct Alternative Answer for Each of the Following Questions.(3) Find Perimeter of a Sector of a Circle If Its Measure is 90° And Radius is 7 Cm.(A) 44 Cm (B) 25 Cm (C) 36 Cm (D) 56 Cm - SSC (English Medium) Class 10th Board Exam - Geometry

ConceptProblems Based on Areas and Perimeter Or Circumference of Circle, Sector and Segment of a Circle

#### Question

Choose the correct alternative answer for each of the following questions.

(3) Find the perimeter of a sector of a circle if its measure is 90° and radius is 7 cm .

• (A) 44 cm

•   (B) 25 cm

• (C) 36 cm

• (D) 56 cm

#### Solution

(3) Here, r = 7 cm and θ = 90º.
∴ Perimeter of the sector =

$\frac{\theta}{360° } \times 2\pi r + 2r = \frac{90° }{360° } \times 2 \times \frac{22}{7} \times 7 + 2 \times 7$ = 11 + 14 = 25 cm

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Solution Choose the Correct Alternative Answer for Each of the Following Questions.(3) Find Perimeter of a Sector of a Circle If Its Measure is 90° And Radius is 7 Cm.(A) 44 Cm (B) 25 Cm (C) 36 Cm (D) 56 Cm Concept: Problems Based on Areas and Perimeter Or Circumference of Circle, Sector and Segment of a Circle.
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