Question

1. in the diagram the circle with centre c has radius 6 cm. determine the length of arc adb, to the nearest 0.1 cm, if ∠cab = \\(\frac{\pi}{8}\\). 11. a pendulum swings through an angle of 45°. find the length of the pendulum (to the nearest cm) if the end of the pendulum swings through an arc of length 32 cm.

Explanation:

Step1: Identify arc length formula

Arc length $l = r\theta$ (θ in radians), $r=6$ cm, $\theta=\frac{\pi}{8}$

Step2: Calculate arc length

$l = 6 \times \frac{\pi}{8} = \frac{6\pi}{8} = \frac{3\pi}{4} \approx 2.356$ cm

Answer:

2.4 cm