++ Prep

00:00 6 marks

A city park is designed as a circle with a radius of 30 meters. A section of the park is allocated for a walking path that forms a sector of the circle. The central angle of the sector is 1.2 radians.

(a) Calculate the length of the arc corresponding to the walking path.

(b) Determine the area of the sector formed by the arc.

Part a

4 minutes 3 marks

Question

Calculate the arc length of the walking path.

Hint Hint

Hint

Use the formula \(s = r\theta\) where \(r = 30\) m and \(\theta = 1.2\) radians.

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36 meters

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Part b

3 minutes 3 marks

Question

Determine the area of the sector formed by the arc.

Hint Hint

Hint

Use the formula \(A = \frac{1}{2}r^2\theta\) with the given values of radius and central angle in radians.

Answer Answer
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540 square meters

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Part b

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Part a

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Part b

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