Question

What is the length of the arc shown in red ?The length of the arc is _ Cm (Simplify your answer. Type an exact answer , using PI as needed . Use integers or fractions for any numbers in the expression .)

Answer 1

the length of an arc is given by =>

`(\emptyset)/(360)X\frac{2\pi r^{}}{1}`

the radius is 10cm

and the angle = 45 degrees

pi = 22/7

length =

`\begin{gathered} (45)/(360)X\frac{2\pi\text{ X 10}}{1}= \\ \Rightarrow\frac{900\pi\text{ }}{360}=\text{ }\frac{900\text{ X 22}}{360X7} \\ \Rightarrow\text{ 7.8534cm} \\ \text{LENGTH OF ARC = 7.85cm} \end{gathered}`