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The area a of a sector of a circle with radius r and central angle θ, where θ is measured in radians, is given by the formula _________.

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Luv2Teach
The formula for the area of a sector of a circle is [tex] A_{s}= \frac{ \theta}{2 \pi } * \pi r^2[/tex].  If our central angle was measured in degrees, the denominator of 2pi would be replaced with 360°

The area a of a sector of a circle with radius r and central angle θ, where θ is measured in radians, is given by the formula

Area of a sector of a circle =[tex]\frac{1}{2} r^2[/tex]θ

Given :

The area a of a sector of a circle with radius r and central angle θ, where θ is measured in radians

The angle theta is measured in radians.

To find area of sector , we multiply the central angle by the square of the  radius of the circle  and divide it by 2.

WE know that radius is 'r' and central angle is θ

Area of a sector of a circle =[tex]\frac{1}{2} r^2[/tex]θ

Learn more :  brainly.com/question/11243447