Question

the perimeter of circle o isc24 theangle fprmed by an arcof the circle at its centre in 30^
find the length of the arc AB
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Answer 1

Answer:

2 cm

Step-by-step explanation:

Since we are given that the Perimeter of the circle = 24 cm

And since we know the formula for "Circumference of circle":

C = 2πr

24 cm = 2πr

Angle formed by an Arc of the circle at its Centre = 30°.

And the formula for "Length of an arc":

Ф ÷ 360 × 2πr

Ф = 30

30 ÷ 360 × 24

1 ÷ 12 × 24

1 ÷ 12 = .083 × 24

= 2

So, the length of the arc AB is 2 cm.

Hope this helps my friend.

Answer 2

Perimeter of circle= 2pi*r= 24

Length of arc, l= 30/360 *2pi*r= 1/12* 24= 2 cm

#BAL #answerwithquality