The area of a sector of a circle is given by the formula ( \text{Area of sector} = \frac{\theta}{360} \times \pi r^2 ), where ( \theta ) is the angle of the sector in degrees and ( r ) is the radius of the circle. If the shaded sector has an area of 6 square units, we need the angle to determine the entire area of the circle. However, assuming this sector represents a certain fraction of the circle, the area of the entire circle can be found using the formula ( \text{Area of circle} = \frac{6 \times 360}{\theta} ). If the angle is known, you can calculate the total area accordingly.
To find the area of the shaded sector, we first need to determine the area of the entire circle with a radius of 12, which is calculated using the formula (A = \pi r^2). Thus, the area of the entire circle is (A = \pi (12^2) = 144\pi). If the not shaded area is 100, the area of the shaded sector is then (144\pi - 100). Therefore, the area of the shaded sector is approximately (144\pi - 100) square units.
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
To find the area of the shaded region, you first need to calculate the area of the entire circle. The radius of the circle is half the diameter, so it is 9 centimeters. The area of the circle can be calculated using the formula ( A = \pi r^2 ), which gives approximately ( 254.47 ) square centimeters. Since the shaded area is given as 270 square centimeters, this indicates that the shaded region exceeds the area of the circle, suggesting a possible error in the given dimensions or a misunderstanding of the problem.
It is: 110/360*pi*12*12 = 44*pi square units
To find the area of the shaded region of the circle, first calculate the area of the entire circle using the formula ( A = \pi r^2 ). The radius ( r ) is half the diameter, so ( r = 9 ) cm. Thus, the area of the circle is ( A = \pi (9^2) = 81\pi ) square centimeters. Since the shaded region is 270 degrees, which is ( \frac{3}{4} ) of the circle, the area of the shaded region is ( \frac{3}{4} \times 81\pi = 60.75\pi ) square centimeters, approximately 191.1 square centimeters.
To find the area of the shaded sector, we first need to determine the area of the entire circle with a radius of 12, which is calculated using the formula (A = \pi r^2). Thus, the area of the entire circle is (A = \pi (12^2) = 144\pi). If the not shaded area is 100, the area of the shaded sector is then (144\pi - 100). Therefore, the area of the shaded sector is approximately (144\pi - 100) square units.
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
To find the area of the shaded region, you first need to calculate the area of the entire circle. The radius of the circle is half the diameter, so it is 9 centimeters. The area of the circle can be calculated using the formula ( A = \pi r^2 ), which gives approximately ( 254.47 ) square centimeters. Since the shaded area is given as 270 square centimeters, this indicates that the shaded region exceeds the area of the circle, suggesting a possible error in the given dimensions or a misunderstanding of the problem.
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).
To find the area of the shaded region of the circle, first calculate the area of the entire circle using the formula ( A = \pi r^2 ). The radius ( r ) is half the diameter, so ( r = 9 ) cm. Thus, the area of the circle is ( A = \pi (9^2) = 81\pi ) square centimeters. Since the shaded region is 270 degrees, which is ( \frac{3}{4} ) of the circle, the area of the shaded region is ( \frac{3}{4} \times 81\pi = 60.75\pi ) square centimeters, approximately 191.1 square centimeters.
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