The area of the sector of a circle with a radius of 2 inches and an arc of 60 degrees: 2.094 square inches.
Not enough information is given to work out the radius of the circle as for instance what is the length of sector's arc in degrees
The radius is 8 feet.
15 in
If you're only given the length of the arc, then you can't. You also need to know the fraction of the circle that's in the sector. You can figure that out if you know the angle of the arc, or the radius or diameter of the circle. -- Diameter of the circle = 2 x (radius of the circle) -- Circumference of the circle = (pi) x (Diameter of the circle) -- (length of the arc)/(circumference of the circle) = the fraction of the whole circle that's in the sector or -- (degrees in the arc)/360 = the fraction of the whole circle that's in the sector -- Area of the circle = (pi) x (radius of the circle)2 -- Area of the sector = (Area of the circle) x (fraction of the whole circle that's in the sector)
Total area = 3.14*62 = 113.04 square inches Sector area = 140/360*113.04 = 43.96 square inches
Not enough information is given to work out the radius of the circle as for instance what is the length of sector's arc in degrees
The radius is 8 feet.
The arc length of a sector that is 125 degrees and has a radius of 20 inches is: 43.63 inches.
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.
93
It depends on what information you have: the radius and the area of the sector or the length of the arc.
The area of the sector is: 221.2 cm2
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.
Find the area of the shaded sector. radius of 3 ...A+ = 7.07
19.23
6.5
The area of the whole circle would have been π*62 But instead of 360 degrees for the whole circle, the sector measures only 140 degrees. That is to say, the sector is 140/360 of the whole circle. Area = π*62*140/360 = 43.9823 sq inches.