Question

find the radius of the circle in which a central angle of 45 degree makes an arc of length 187cm

Answer 1

Answer:

Here

l=187cm

0 =45°

Radian measure =45x18045×180

⇒1/4

Now, by r=1/0

We have

r=187xπ/4

⇒187x4×(7/22)⇒

⇒234 cm

Answer 2

Answer:

238 cm

Step-by-step explanation:

we know central angle (∅) = length arc / radius  

now convert into radian form

Angle in radians = Angle in degrees × π/180°  

                             =  45°×π/180°  

                             =  π/4  

 radius = length of arc /central angle

                            =  187/π/4  ( take π = 22/7)

on solving this we get 238cm .