Question

An arc of length 121 cm makes an angle 77° at the center of a circle. The radius of the circle is ?

Answer 1

This is the answer of your question

Answer 2

Answer:

The radius of the circle is =90 cm

Step-by-step explanation:

The arc length is the distance between the two points along the curved line, making up the arc. It is longer than the chord.

Given The arc length $=121\text{ cm}$

The angle $\angle{AOB}=\theta=77^{\circ}$

Consider the radius of the arc = r cm

We know that,

$\text{The arc length }(\widehat{AB}) = \frac{\theta}{360^{\circ}}\times2\times\pi\times{r}\\\\\Rightarrow121=\frac{77}{360}\times2\times\frac{22}{7} \times{r}\\\\\Rightarrow{r}= \frac{121\times360\times7}{77\times2\times22}\\\\\Rightarrow{r}=90\text{ cm}$

The radius of the circle is =90 cm