Question

PLEASE HELP

Select the correct answer from the drop-down menu. If , the ratio of the length of to the length of is .


answers:

1/6
1/4
3/2
3/4
am I right? (refer to photo)

Answer 1

3/4

Step-by-step explanation: I gotchu

Answer 2

`\boxed{\boxed{\frac{\widehat{BC}}{\widehat{DE}}=(3)/(4)}}`

Solution-

We know that arc length is the product of radius and central angle in radian.

i.e
`\text{Arc length}=\text{Radius}* \text{Central angle}`

Here,

`\theta_(BC)=1.18\ rad,\ \theta_(DE)=2.36\ rad\\\\AD=(2)/(3)AB\Rightarrow AB=(3)/(2)AD`

So,

`\frac{\widehat{BC}}{\widehat{DE}}=(AB* 1.18)/(AD* 2.36)`

`=((3)/(2)AD* 1.18)/(AD* 2.36)`

`=(3* 1)/(2* 2)`

`=(3)/(4)`