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
It is difficult to be sure because there is no figure and so no shading. I would guess it is 7.1 square units.
The radius is 8 feet.
An entire circle is 360 degrees. 90 deg is 1/4 of that. Area of a circle is A = pi r^2 area of this sector is (1/4) pi r^2 = (1/4) x 3.14 x 4x4 =12.56
Area of sector: 38.485 sq ft Area of circle: 153.93804 sq ft Arc in degrees: (38.485/153.93804)*360 = 90.00114592 or about 90 degrees Arc in feet: 10.99557429 or about 11 feet
25%. 45 degrees. Radius.
The angle between the radius and the tangent is a right angle of 90 degrees.
Find the area of the shaded sector. radius of 3 ...A+ = 7.07
An entire circle is 360 degrees. 90 deg is 1/4 of that. Area of a circle is A = pi r^2 area of this sector is (1/4) pi r^2 = (1/4) x 3.14 x 4x4 =12.56
The radius is 8 feet.
Well a circle has 360 degrees so a sector of 90 degrees has an area equal to 90/360 (or 1/4) of a circle with the equivalent radius. The area of a circle is defined as PI*Radius^2 so the area of a 90 degree sector will be 1/4*PI*Radius^2. The area will be 1/4*3.14*10^2 or 78.5 in^2.
The radius is 12
Area of sector: 38.485 sq ft Area of circle: 153.93804 sq ft Arc in degrees: (38.485/153.93804)*360 = 90.00114592 or about 90 degrees Arc in feet: 10.99557429 or about 11 feet
Remember that a circle has 360 degrees, and now you are looking for 90 degrees. 90 degrees is 1/4, or a quarter, of 360 degrees. The formula for the area of a sector is [pi(r)^2](x/360), where x is the degrees you are looking for. So the equation is [pi(6)^2](90/360). First, you simplify it to [pi(6)^2](1/4). The next step would be [pi(36)](1/4). The final answer would be 9pi.
area = 225 pi = pi R squared/4 R = square root 900 = 30 in
25%. 45 degrees. Radius.
The angle between the radius and the tangent is a right angle of 90 degrees.
From your question, we can't tell whether [ 64 pi ] is the area of the circleor the sector.The area of a circle is [ pi R2 ].If [ 64 pi ] is the area of the circle, then the radius is [ 8 ], and we don't careabout the sector.If [ 64 pi ] is the area of the sector, then the area of the full circle is [ 256 pi ](because the 90-degree sector is 1/4 of the circle), and the radius is [ 16 ].
The area of a circle is given by the forumula pi x the radius squared. A 90 degree sector will occupy one fourth of the area of the circle, so the answer is: (pi x r2)/4 = (3.14 x 82)/4 = 50.24, or approximately 50 if you are calculating with significant figures in mind.