Question

A circle has an area of 24 m2. what is the area of a 45 sector of this circle

Answer 1

`\text{Area of sector is }3m^2`

Explanation:

Given a circle of area
`24m^2`

we have to find the area of sector of angle 45° of circle.

Angle at the center of circle is 360°

Part of circle which gives the sector is

`(45^(\circ))/(360^(\circ))=(1)/(8)`

`\text{Total area of circle = }24m^2`

`\text{Area of }(1)/(8) \text{ part of circle is }=(1)/(8)*24=3m^2`

`\text{Area of sector is }3m^2`

Answer 2

we know that

if a 360° (full circle) has an area of-------------------> 24 m²
45°----------------------------------------------------> X
X=45°*24/360°------------> X=3 m²

the answer is
3 m²