Question

the perimeter of circle with Centre O is 24 cm the angle formed by an Arc of the circle at its Centre is 30 degree find the length of the arc ab with the method​

Answer 1

Answer:

perimeter 2πr=24

r = 12/π

Arc length=Xx2πr / 360

= 30x2xπx12/360xπ = 30x2x12/360

= 2 cm. Ans

Answer 2

Answer: The length of the arc is 2 cm.

Step-by-step explanation:

Since we have given that

Perimeter of circle = 24 cm

As we know the formula for "Circumference of circle":

$C=2\pi r\\\\2\pi r=24$

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

As we know the formula for "Length of an arc":

$\dfrac{\theta}{360^\circ}\times 2\pi r\\\\=\dfrac{30}{360}\times 24\\\\=\dfrac{1}{12}\times 24\\\\=2\ cm$

Hence, the length of the arc is 2 cm.