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To find the radius of a circle given a 110-degree central angle and an arc length of 50 units, you can use the formula for arc length: ( L = r \theta ), where ( L ) is the arc length, ( r ) is the radius, and ( \theta ) is the angle in radians. First, convert 110 degrees to radians: ( \theta = \frac{110 \times \pi}{180} \approx 1.919 ) radians. Then, rearranging the formula gives ( r = \frac{L}{\theta} = \frac{50}{1.919} \approx 26.0 ) units. So, the radius is approximately 26.0 units.
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What is the length of an arc with a radius of 5 and the central angle is 120 degrees?
Length of arc = pi*radius*angle/180 = 10.47 units (to 2 dp)
What is the length of the arc formed by central angle 2x?
If the angle is 2x radians then the length of the arc is 2x*r units where the radius of curvature is r units. If you measure the angle in degrees, then the length of the arc is pi*x*r/90 units.
What is the measure of the central angle if the sector area is 220 square units and the radius is 12 units?
To find the central angle in radians for a sector, you can use the formula for the area of a sector: ( A = \frac{1}{2} r^2 \theta ), where ( A ) is the area, ( r ) is the radius, and ( \theta ) is the central angle in radians. Given that the area ( A = 220 ) square units and the radius ( r = 12 ) units, we can rearrange the formula to solve for ( \theta ): [ \theta = \frac{2A}{r^2} = \frac{2 \times 220}{12^2} = \frac{440}{144} = \frac{55}{18} \text{ radians}. ] Thus, the central angle measures ( \frac{55}{18} ) radians, or approximately 3.06 radians.
What is the length of the miror arc with an angle of 82 degrees?
radius*82*pi/180 units. radius*82*pi/180 units. radius*82*pi/180 units. radius*82*pi/180 units.
How do you draw a line 12 long at a 22.5 degree angle?
Draw a circle with radius of 12 units and draw the horizontal diameter. Draw the perpendicular bisector for this line. Bisect the angle that is formed above the horizontal line. Again, bisect the angle that is formed above the horizontal line: extend this line to the circumference of the circle. This line will be 12 units long because it is a radius of the circle. It is a quarter (half of half) of the 90 degree angle and so the incline is 22.5 degrees.
The area of a sector formed by a 110 degree central angle is 50 units what is its radius?
45.33
The area of the sector formed by the 110 degree central angle is 40 units what is the radius of the circle?
6.46
The area of the sector formed by the 110 degree central angle is 50 units what is the radius of the circle?
its 45.33 :)..people just need to get straight to the freaking point!
What is the length of an arc with a radius of 5 and the central angle is 120 degrees?
Length of arc = pi*radius*angle/180 = 10.47 units (to 2 dp)
A central angle measuring 120 degrees intercepts an arc in a circle whose radius is 6. What is the area of the sector of the circle formed by this central angle?
The area of the sector of the circle formed by the central angle is: 37.7 square units.
What is the length of the arc formed by central angle 2x?
If the angle is 2x radians then the length of the arc is 2x*r units where the radius of curvature is r units. If you measure the angle in degrees, then the length of the arc is pi*x*r/90 units.
What is the measure of the central angle if the sector area is 220 square units and the radius is 12 units?
To find the central angle in radians for a sector, you can use the formula for the area of a sector: ( A = \frac{1}{2} r^2 \theta ), where ( A ) is the area, ( r ) is the radius, and ( \theta ) is the central angle in radians. Given that the area ( A = 220 ) square units and the radius ( r = 12 ) units, we can rearrange the formula to solve for ( \theta ): [ \theta = \frac{2A}{r^2} = \frac{2 \times 220}{12^2} = \frac{440}{144} = \frac{55}{18} \text{ radians}. ] Thus, the central angle measures ( \frac{55}{18} ) radians, or approximately 3.06 radians.
What is a area of a sector formed by central angles 2x?
2x*r2 square units where r is the radius and 2x is the angle (measured in radians).
What is the length of the miror arc with an angle of 82 degrees?
radius*82*pi/180 units. radius*82*pi/180 units. radius*82*pi/180 units. radius*82*pi/180 units.
How do you draw a line 12 long at a 22.5 degree angle?
Draw a circle with radius of 12 units and draw the horizontal diameter. Draw the perpendicular bisector for this line. Bisect the angle that is formed above the horizontal line. Again, bisect the angle that is formed above the horizontal line: extend this line to the circumference of the circle. This line will be 12 units long because it is a radius of the circle. It is a quarter (half of half) of the 90 degree angle and so the incline is 22.5 degrees.
What is the area of the shaded sector with a central angle of 260 and radius of 12?
Area = pi*122 = 144pi square units Shaded area = (260/360)*144pi = 104pi square units
What is the area of a sector with a central angle of 32 and a radius of 8.5?
Area of sector = (32*pi*8.52)/360 = 20.18 square units correct to 2 dp
