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: 110/360*pi*12*12 = 44*pi square units
A circle with a radius of 135 units has an area of 57,255.53 square units.
(Length of side of square)^2 - Pi * radius^2
It ultimately depends on the areas of the two shapes: Acircle = pi*r2 Asquare = l2 Fraction shaded = Acircle / Asquare = pi*r2/ l2 If the circle fills the square (e.g. l=2r) then the formula simplifies considerably: pi*r2/4r2 = pi/4
The area of the shaded sector is: 245.7 square units.
A shade circle ontop of a shaded square. ES
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: 110/360*pi*12*12 = 44*pi square units
If the angle at the centre is 60° then the sector occupies 1/6 of the circle as 60/360 = 1/6. The area of a circle = πr² The area of the sector = 1/6.π3² = 9/6.π = 4.712 square units.
The area of the square is 98 square cm. Assuming the shaded area is the remainder of the circle, its area is 55.9 square cm (approx).
A circle with a radius of 135 units has an area of 57,255.53 square units.
False
You find the area of the whole square first. Then you find the area of the circle inside of it And then subtract the area of the circle from the area of the square and then you get the shaded area of the square
(Length of side of square)^2 - Pi * radius^2
For a circle where sector measures 10 degrees and the diameter of the circle is 12: Sector area = 3.142 square units.
Area = pi*122 = 144pi square units Shaded area = (260/360)*144pi = 104pi square units