MathematicsThe sector of a circle of angle 90 °   is also known as ____.

The sector of a circle of angle 90 °   is also known as ____.


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    Solution:

    The sector of a circle of angle is also known as quadrant.
    Given,
    A sector of a circle of angle 90 °  .
    We know that the area of a sector of circle of radius r with θ   as an angle at the centre is equal to π r 2 θ 360 0  .
    Here, θ= 90 °  
    We get,
    A s = π r 2 × 90 ° 360 ° A s = π r 2 4 A s = A c 4  
    Therefore, the sector of a circle of angle 90° is also known as quadrant of the circle.
    Hence, the correct answer is quadrant.
     
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