Question

In a circle of radius 10.5cm the minor arc is 1/5 of the major arc

Answer 1

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Answer 2

The major arc = 55cm and the minor arc = 11 cm.

Step-by-step explanation:

Given,

The radius of circle (r) = 10.5 cm

To find, the minor arc and major arc = ?

∴ The circumference of circle =$2\pi r$

$=2\times \dfrac{22}{7} \times 10.5=44\times 1.5 cm$

= 66 cm

We know that,

The circumference of circle = Major arc + Minor arc

Let minor arc = x and major arc = 5x

According to question,

∴ 5x + x = 66

⇒ 5x + x = 66

⇒ x = 11 cm

∴ 5x = 5 × 11 = 55 cm

Hence, the major arc = 55 cm and the minor arc = 11 cm.