Unless you have a scale diagram in front of you which you can directly measure, then:
Unless you know the radius as well, with great difficulty.
Sector_area = 1/2 x radius2 x angle_in_radians
If the radius doubles, keeping the sector_area the same, the angle becomes a quarter of its previous value.
It is found by: (sector area/entire circle area) times 360 in degrees
To find the central angle in radians for a sector, you can use the formula: ( \text{Sector Area} = \frac{1}{2} r^2 \theta ), where ( r ) is the radius and ( \theta ) is the angle in radians. Given the sector area of 169.56 and a radius of 9, we can rearrange the formula to solve for ( \theta ): [ \theta = \frac{2 \times \text{Sector Area}}{r^2} = \frac{2 \times 169.56}{9^2} = \frac{339.12}{81} \approx 4.18 \text{ radians}. ] Thus, the measure of the central angle is approximately 4.18 radians.
26.17
To find the area of a shaded sector, you can use the formula ( A = \frac{\theta}{360} \times \pi r^2 ), where ( A ) is the area of the sector, ( \theta ) is the central angle of the sector in degrees, and ( r ) is the radius of the circle. If the angle is given in radians, the formula becomes ( A = \frac{1}{2} r^2 \theta ). Measure the radius and the angle, then apply the appropriate formula to calculate the area.
Area of a sector of a circle.
It is found by: (sector area/entire circle area) times 360 in degrees
Area of sector/Area of circle = Angle of sector/360o Area of sector = (Area of circle*Angle of sector)/360o
if given the central angle and the area of the circle, then by proportion: Given angle / sector area = 360 / Entire area, then solve for the sector area
To find the central angle in radians for a sector, you can use the formula: ( \text{Sector Area} = \frac{1}{2} r^2 \theta ), where ( r ) is the radius and ( \theta ) is the angle in radians. Given the sector area of 169.56 and a radius of 9, we can rearrange the formula to solve for ( \theta ): [ \theta = \frac{2 \times \text{Sector Area}}{r^2} = \frac{2 \times 169.56}{9^2} = \frac{339.12}{81} \approx 4.18 \text{ radians}. ] Thus, the measure of the central angle is approximately 4.18 radians.
The area of the sector of the circle formed by the central angle is: 37.7 square units.
The area of the circle is(17,640)/(the number of degrees in the central angle of the sector)
6.5
Radius is 9 so area of complete circle (360o) is 81 x 3.14 ie 254.34. Angle of sector is therefore 360 x 169.56/254.34 which is 240o
If the sector of a circle has a central angle of 50 and an area of 605 cm2, the radius is: 37.24 cm
26.17
To find the area of a shaded sector, you can use the formula ( A = \frac{\theta}{360} \times \pi r^2 ), where ( A ) is the area of the sector, ( \theta ) is the central angle of the sector in degrees, and ( r ) is the radius of the circle. If the angle is given in radians, the formula becomes ( A = \frac{1}{2} r^2 \theta ). Measure the radius and the angle, then apply the appropriate formula to calculate the area.
Area of a sector of a circle.