Question

If the length of the shorter arc AB is 22cm and C is the center of the circle then the circumference of the circle

is:

Answer 1

Length of arc=L=22cm

We know

`\boxed{\sf L=(\Theta)/(360)* πr}`

`\\ \sf\longmapsto 22=(45)/(360)* 2πr`

`\\ \sf\longmapsto (2πr)/(8)=22`

`\\ \sf\longmapsto {2πr=176}`

`\\ \sf\longmapsto Circumference=176cm`

Answer 2

• 176 cm

Explanation:

The shorter arc is 22 cm.

Arc length formula:

• s = πrθ/180

Circumference formula:

• C = 2πr

Use the first formula to work out the value of C:

• 22 = πr*45/180
• πr/4 = 22
• πr = 88
• 2πr = 176
• C = 176 cm