Calculate the perimeter of a sector of a circle of radius 9cm and angle 36o.

Assessment: JAMB UTME - Mathematics - 2016 Subject: General Mathematics

Question 1 Report

Calculate the perimeter of a sector of a circle of radius 9cm and angle 36o.
Answer Details
The perimeter of a sector of a circle is the sum of the arc length and the two radii. To find the perimeter, we need to first find the arc length using the formula: arc length = (angle/360) x 2 x π x radius In this case, the angle is given as 36°, the radius is given as 9cm, and π is approximately equal to 3.14. Substituting these values into the formula, we get: arc length = (36/360) x 2 x 3.14 x 9 = 2.83 cm (rounded to two decimal places) Now, we can find the perimeter by adding the two radii to the arc length: perimeter = 2 x 9 + 2.83 = 20.83 cm Therefore, the answer is (B) (18 + 9π/5) cm, rounded to two decimal places.

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