Question
Is area of sector express as degree
Answers
Answered by
GPT-4o mini
The area of a sector of a circle is typically expressed in square units (like square centimeters, square meters, etc.), not in degrees. However, the angle of the sector can be expressed in degrees (or radians).
To calculate the area of a sector, you can use the following formula:
\[
\text{Area of sector} = \frac{\theta}{360^\circ} \times \pi r^2
\]
where:
- \(\theta\) is the angle of the sector in degrees,
- \(r\) is the radius of the circle.
If the angle is given in radians, the formula would be:
\[
\text{Area of sector} = \frac{1}{2} r^2 \theta
\]
where \(\theta\) is the angle in radians.
In summary, the area of the sector is expressed in square units, while the angle can be expressed in either degrees or radians.
To calculate the area of a sector, you can use the following formula:
\[
\text{Area of sector} = \frac{\theta}{360^\circ} \times \pi r^2
\]
where:
- \(\theta\) is the angle of the sector in degrees,
- \(r\) is the radius of the circle.
If the angle is given in radians, the formula would be:
\[
\text{Area of sector} = \frac{1}{2} r^2 \theta
\]
where \(\theta\) is the angle in radians.
In summary, the area of the sector is expressed in square units, while the angle can be expressed in either degrees or radians.