Table of Contents
How do you find the length of a sector with radius and angle?
The arc length of a circle can be calculated with the radius and central angle using the arc length formula,
- Length of an Arc = θ × r, where θ is in radian.
- Length of an Arc = θ × (π/180) × r, where θ is in degree.
What is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4?
8π/5
The arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4 is 8π/5.
How do you find the sector angle of a circle?
Sector Area = r² * α / 2 The area of a circle is calculated as A = πr² . This is a great starting point. The full angle is 2π in radians, or 360° in degrees, the latter of which is the more common angle unit. Then, we want to calculate the area of a part of a circle, expressed by the central angle.
What is the arc length of the subtending arc for an angle of 72 degrees?
The arc of 72 deg is 72/360 = 1/5th and so the arc subtending 72 deg at the center will be 8(pi)/5 or 1.6(pi) = 5.028571429 unit.
How do you calculate sector of a circle?
The formula for sector area is simple – multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2.
What is angle of sector?
The angle of the sector is 360°, area of the sector, i.e. the Whole circle = πr2. When the Angle is 1°, area of sector = πr2/360° So, when the angle is θ, area of sector, OPAQ, is defined as; A = (θ/360°) × πr2. Let the angle be 45 °.
How do you find the sector?
How do you find the sector length of a circle?
Given the circumference, C C of a circle, the radius, r r, is: r = C (2π) r = C ( 2 π) Once you know the radius, you have the lengths of two of the parts of the sector. You only need to know arc length or the central angle, in degrees or radians.
What is the perimeter of the sector of a circle?
The perimeter of the sector of a circle is the length of two radii along with the arc that makes the sector. In the following diagram, a sector is shown in yellow colour. The perimeter should be calculated by doubling the radius and then adding it to the length of the arc. A circular arc whose radius is 12 cm, makes an angle of 30° at the centre.
How do you find the sector area of an angle?
Sector area formula. The formula for sector area is simple – multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2.
How to find arc length from central angle and chord length?
Or the central angle and the chord length: 1 Divide the central angle in radians by 2 and perform the sine function on it. 2 Divide the chord length by double the result of step 1. This calculation gives you the radius. 3 Multiply the radius by the central angle to get the arc length.