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What is the radius of a circle that has a minor angle measured as 120 degrees and sector area of 66.99?
To find the radius of the circle, we can use the formula for the area of a sector: ( A = \frac{1}{2} r^2 \theta ), where ( \theta ) is in radians. First, convert the angle from degrees to radians: ( 120^\circ = \frac{120 \times \pi}{180} = \frac{2\pi}{3} ) radians. Setting the sector area equal to 66.99 gives us:
[ 66.99 = \frac{1}{2} r^2 \cdot \frac{2\pi}{3}. ]
Solving for ( r^2 ), we find ( r^2 = \frac{66.99 \cdot 3}{\pi} ) and thus ( r = \sqrt{\frac{200.97}{\pi}} \approx 7.99 ).
What else can I help you with?
What is the radius of a circle with a sector are of 662.89?
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
In a circle a 90 degrees sector has area 16pi ft2. what is the radius of the circle?
The radius is 8 feet.
What is the area of the sector a circle with a radius of 2 inches and an arc of 60 degrees?
The area of the sector of a circle with a radius of 2 inches and an arc of 60 degrees: 2.094 square inches.
What is the name of the angle in a circle sector?
The angle in a circle sector is called the "central angle." This angle is formed at the center of the circle and subtends the arc of the sector. It is measured in degrees or radians and determines the size of the sector.
How do you work out the area of a sector when given the length of the arc?
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)
What is the radius of a circle with a sector are of 662.89?
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
In a circle a 90 degrees sector has area 16pi ft2. what is the radius of the circle?
The radius is 8 feet.
What is the area of the sector a circle with a radius of 2 inches and an arc of 60 degrees?
The area of the sector of a circle with a radius of 2 inches and an arc of 60 degrees: 2.094 square inches.
How do you find the sector of a circle when it is 45 degrees and the radius 9?
93
How do you find the degrees sector of an circle?
It depends on what information you have: the radius and the area of the sector or the length of the arc.
Calculate a sector of a circle if the angle is 150 degrees and the radius is 13cm?
The area of the sector is: 221.2 cm2
What is the area of the shaded sector if the circle has a radius of 3 and the central angle is 90 degrees?
Find the area of the shaded sector. radius of 3 ...A+ = 7.07
What is the area of the sector of a circle?
Suppose the radius of the circle is r units and the sector subtends an agle of x radians at the centre of the circle. ThenArea = 0.5*r2*x square units.If x is measured in degrees, this becomesArea = pi*r2*x/360 square units.
What is the area of a sector whose central angle is ninety degrees and has a radius of ten 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.
What is the area of the shaded sector if the circle has a radius of 7 and the central angle is 45 degrees?
19.23
How do you find the area of a shaded sector of a sector?
The area is r^2*x where r is the radius of the circle and x is the angle measured in radians. If you are still working in degrees then Area = (y/180)*r^2, where the angle is y.
How do you find the sector area of a circle?
The area of a sector is 0.5*r^2*theta square units where r is the radius measured in linear units and theta is the angle (measured in radians).
