The area of the whole circle is pi*r2 = 25*pi
To go any further, you need to assume that the central angle is given in degrees.
If the sector is 18.0 degrees out of a circle of 360 degrees so the sector represents 18/360 = 1/20 of the whole circle.
The area of the sector, therefore, is 1/20 of the area of the whole circle
= 25*pi/20 = 5*pi/4 or 1.25*pi = 12.566 sq inches.
Area of a sector of a circle = (pi) x (radius)2 x (central angle of the sector / 360)
You can draw exactly four of the those right-angled sectors in a circle. The definition of a sector is quoted as "the portion of a circle bounded by two radii and the included arc". The circumference of a circle = 2*pi*radius. The arc of each sector will be 0.5*pi*radius.
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
For A+ 7.22The area of a sector of a circle is proportional to the angle at the center of the sector, with 360 degrees corresponding to the full circle. Therefore, the area of the total circle for which the problem is stated is 50 X 360/110 = about 163.6 square units. The area of a circle is also equal to pi multiplied by the square of the radius of the circle, so that the radius r of this circle equals the square root of 163.6/pi = about 7.217 units. The circumference of the circle is also twice the radius multiplied by pi = 45 units, to the justified number of significant digits (limited by "50").a+ 45.33
Assuming the shaded sector has the angle of 100o (without seeing the diagram, it could be the other sector, ie the one with an angle of 260o): The sector is 1000 ÷ 360o = 5/18 of the circle. Thus its area is 5/18 that of the circle: area = 5/18 x π x 82 ~= 55.9 units2
6.5
The area of the sector of a circle with a radius of 2 inches and an arc of 60 degrees: 2.094 square inches.
If the sector of a circle has a central angle of 50 and an area of 605 cm2, the radius is: 37.24 cm
Total area = 3.14*62 = 113.04 square inches Sector area = 140/360*113.04 = 43.96 square inches
Area of a sector of a circle = (pi) x (radius)2 x (central angle of the sector / 360)
Find the area of the shaded sector. radius of 3 ...A+ = 7.07
The area of the sector of the circle formed by the central angle is: 37.7 square units.
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.
6.46
19.23
6.46
324.47 square feet