Question

The diameter of a circle is 14cm find the length of an arc subtending an angle of 54degree at the centre?

Answer 1

Answer:

l = 6.594 cm

Step-by-step explanation:

54° = π/180 × 54 = 3π/10

54° = 3×3.14/10 = 0.942 rad

l = r@

l = 7 × 0.942

l = 6.594 cm

Answer 2

Answer:   The length of arc subtended by 54° is 6.6 cm

Step-by-step explanation:

Given : diameter of circle = 14 cm

therefore radius =  7 cm

angle = 54°

As we know the arc subtended by an angle ∅ is given by $2 \pi r \dfrac{\theta}{360^\circ}$

Therefore the length of the arc

$= 2 \pi \times 7 \times\dfrac{54^\circ}{360^\circ} = 2\times \dfrac{22}{7} \times 7 \times \dfrac{54^\circ}{360^\circ} = 6.6 cm$

Hence, the length of arc subtended by 54° is 6.6 cm