Question

find area of segment if radius of circle is 15 units and angle inscribed in a Centre is 60 degree​

Answer 1

ANSWER:

area of a circle = πr² ( formula )

it means for 360°;

area = πr²

so, for 60° ( applying unitary method )

area = πr²/6

$area = \frac{\pi {r}^{2} }{6} \\ area = \frac{22 \times 15 \times 15}{7 \times 6} \\ area = 117.75 \: \: {unit}^{2}$

Answer 2

Answer:

⇒ 117.85 units.

Step-by-step explanation:

Given,

Radius of the Circle = 15 units

Angle inscribed in centre = 60°

To find,

The area of the segment.

We know that:

Area of circle = πr²

Therefore, for 360° the area would be πr².

And, for 45° the area would be:

⇒ 360/60 = 6

∴ πr²/6

So,

⇒ 22 × 15 × 15 / 7 × 6

⇒ 4,950 / 42

⇒ 117.85 units.