Question

Write a formula for r in terms of 0 for the following figure.

4 cm
r
The angle in the figure is a central angle in radians.

Answer 1

Answer: 4/θ

Step-by-step explanation: Khan Academy

Answer 2

Answer:
`r=(4)/(\theta)\text{ cm}` .

Explanation:

We know that ,
`l= r\theta` , where l = length of arc , r= radius ,
`\theta=` central angle ( in radians).

Here , l= 4 cm

Substitute this value in the formula , we get

`4=r\theta \\\\\Rightarrow\ r=(4)/(\theta)`

Hence, the formula of r in terms of
`\theta` is
`r=(4)/(\theta)\text{ cm}` , where
`\theta=` central angle ( in radians).