Question

Length of arc of a sector angle 45 c of circle of radius 14 cm is ..........

Answer 1

Answer:

11 cm

Step-by-step explanation:

r=14cm

θ=45

Length of Arc

=2πr×(θ/360)

=2×(22/7)×14×(45/360)

=88×(1/8)

=11 cm

Answer 2

The length of arc of sector is 10.99 cm

Solution:

From given,

Radius = 14 cm

$\theta = 45^{\circ}$

To find: Length of arc of sector

The arc length when angle is in degrees is:

$Arc\ length = \frac{\theta}{360} \times 2 \pi r$

Where, r is the radius

Therefore,

$Arc\ length = \frac{45}{360} \times 2 \times 3.14 \times 14\\\\Arc\ length = 0.25 \times 3.14 \times 14\\\\Arc\ length = 10.99$

Thus length of arc of sector is 10.99 cm

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