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It depends whether the UNSHOWN figure has the shaded sector as the sector which includes the 90° angle, or the one which excludes it.

Assuming that it is the sector including the 90° angle, ie the question should have been written:

What is the area of a sector of a circle with a radius of 3 units when the angle of the sector is 90°?

It is a fraction of the whole area of the circle.

The fraction is 90°/360° (as there are 360° in a full turn and only 90° are required) = 1/4

Area circle = π × radius² = π × (3 units)² = 9π square units

→ area 90° sector = ¼ × area circle

= ¼ × 9π square units

= 9π/4 square units

≈ 7.1 square units

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6y ago
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Wiki User

6y ago

It is difficult to be sure because there is no figure and so no shading. I would guess it is 7.1 square units.

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Q: What is the shaded sector of the if radius is 3 and the degrees is 90?
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