2pie.r.theta+2r/360=16.4 now find theta and then find area .....
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
There is no specific formula for a sector of a circle. There is a formula for its angle (at the centre), its perimeter, its area.
The radius is 8 feet.
45 degrees.
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)
Length of arc = angle of arc (in radians) × radius of circle With a ratio of 7:8 the area of the sector is 7/8 the area of the whole circle. This is the same as saying that the circle has been divided up into 8 equal sectors and 7 have been shaded in. Dividing the circle up into 8 equal sectors will give each sector an angle of arc of 2π × 1/8 7 of these sectors will thus encompass an angle of arc of 2π × 1/8 × 7 = 2π × 7/8 = 7π/4 Thus the length of the arc of the sector is 7π/4 × radius of the circle. --------------------------------- Alternatively, it can be considered that as 7/8 of the area is in the sector, the length of the arc is 7/8 the circumference of the circle = 7/8 × 2π × radius = 7π/4 × radius.
Two sectors - leaving out the possibility that the sector equals the whole circle.
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.
A track 7m wide consists of two concentric circles. The circumference of the inner circle is 440m. Find, 1) the radius of the outer circle 2) the circumference of the outer circle.
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
if a circle has a radius of 12cm and a sector defined by a 120 degree arc what is the area of the sector
There is no specific formula for a sector of a circle. There is a formula for its angle (at the centre), its perimeter, its area.
A=25-(r-5)(r-5)→10-r2(Length of Arc) + (2*radius) = Perimeter of Sector→rӨ+2r=20so Length of Arc,rӨ=20-2rArea of sector=½rӨ=rӨ(½r)Sub length of arc equation into area of sector equation gives: (20-2r)(½r)=10-r2Thus it is proved.
The radius is 8 feet.
45 degrees.
If the sector of a circle has a central angle of 50 and an area of 605 cm2, the radius is: 37.24 cm
The radius is 12