Q. What is the area of the shaded segment?
To find the area of the shaded segment, we need to subtract the area of the triangle from the area of the sector.
Q. What is the formula for finding the area of an arc?
If the central angle measures 60 degrees, divide the 360 total degrees in the circle by 60. Multiply this by the measure of the corresponding arc to find the total circumference of the circle. Use the circumference to find the radius, then use the radius to find the area.
Q. How do you find the arc length and area of a sector?
The arc length formula is used to find the length of an arc of a circle; ℓ=rθ ℓ = r θ , where θ is in radian. Sector area is found A=12θr2 A = 1 2 θ r 2 , where θ is in radian.
Q. How do you find the area of a sector calculator?
The formula for sector area is simple – multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2.
Q. How do you find the arc length?
If the angle of your arc is measured in degrees then use this formula to calculate the length of the arc:
- Arc length (A) = (Θ ÷ 360) x (2 x π x r)
- A = (Θ ÷ 360) x (D x π)
- A = Arc length.
- Θ = Arc angle (in degrees)
- r = radius of circle.
- D = Diameter of circle.
Q. What is the length of a 135 arc?
So, the length of an arc of a circle with a radius of 10 cm, having a central angle of 135 degrees, is about 23.55 cm.
Q. How do you find the arc length of a degree?
A circle is 360° all the way around; therefore, if you divide an arc’s degree measure by 360°, you find the fraction of the circle’s circumference that the arc makes up. Then, if you multiply the length all the way around the circle (the circle’s circumference) by that fraction, you get the length along the arc.
Q. What is minor arc example?
The minor arc is an arc that subtends an angle of less than 180 degrees to the circle’s center. In other words, the minor arc measures less than a semicircle and is represented on the circle by two points. For example, arc AB in the circle below is the minor arc.
