Question

In circle H with m/GHJ = 30 and GH = 5 units, find the length of are GJ. Round to the nearest hundredth. H J G​

Answer 1

GJ ≈ 31.42 units

Explanation:

the arc length GJ is calculated as

GJ = circumference of circle × fraction of circle

= 2πr ×
`(30)/(180)` ( r is the radius )

the radius HJ = 30 , then

GJ = 2π × 30 ×
`(1)/(6)`

= 60π ×
`(1)/(6)`

= 10π

≈ 31.42 units ( to the nearest hundredth )