Question

A chord of a circle of radius 12cm subtends an angle of 120° at the centre. Find the length of corresponding arc

Answer 1

Answer:

l=2πr/3

l=2*22/7

l=44/7

Answer 2

Step-by-step explanation:

Given The radius is = 12 Cm✓

And the chord substends 120° at the centre

So we can find the length of the minor or corresponding arc by using the formula

$\frac{theta}{360} \times \pi \: r ^{2}$

so Let us now find the length of the minor arc by using the formula ✓

Theta = 120 and r= 12

• length of arc :⏬⤵️

$\frac{120}{360} \times \frac{22}{7} \times 12 \times 12$

$= > \frac{1}{3} \times \frac{22}{7} \times 144 \\ \\ = > \frac{22}{7} \times 48 \\ \\ = > \frac{1056}{7} \\ \\ = > 150.85cm$

So the length of the corresponding arc is 150.85 cm✓