Question

In circle Q with M PQR equals 42 and PQ equals seven units, find the length of arc PR. Round to the nearest hundred

Answer 1

Answer:
`5.13\ \text{units}`

Explanation:

Given

In a circle,
`\angle PQR=42^(\circ)`

`PQ=7\ \text{units}`

Arc length is given by

`\Rightarrow l=(\theta)/(360^(\circ))\cdot 2\pi r`

Insert the values

`\Rightarrow l=(42^(\circ))/(360^(\circ))\cdot 2* (22)/(7) * 7\\\\\Rightarrow l=5.13\ \text{units}`

The length of the arc PR is
`5.13\ \text{units}`