Question

what is the lenght of the arc on a circle with radius 10cm intercepted by a 20° angle? use 3.14 for pie

Answer 1

The radius of the circle = 10cm

Intercepted by angle =20

Expression for the Arc of the circle is

`\begin{gathered} \text{Arc Length=2}\pi\text{Radius}(\theta)/(360) \\ \text{Substitute the value of Radius =10cm \& }\theta=20 \\ \text{Arc Length=2}\pi(10)(20)/(360) \\ \text{Arc Length=}\pi(10)(1)/(9) \\ \text{Arc Length=}(3.14*10)/(9) \\ \text{Arc Length=}3.488\text{ cm} \end{gathered}`

The length of Arc Length is 3.488

Answer : 3.488 cm