How do you find the length of an arc of a circle if the subtended central angle is given?

Divide the central angle in radians by 2 and perform the sine function on it. Divide the chord length by double the result of step 1. This calculation gives you the radius. Multiply the radius by the central angle to get the arc length.

How do you find the length of a subtended arc?

Divide the central angle in radians by 2 and further, perform the sine function on it. Divide the given chord length by twice the result of step 1. This calculation gives you the radius as result. Multiply the radius by the central angle to get the arc length.

How do you find the arc length of a circle with the diameter?

To find the arc length, set up the formula Arc length = 2 x pi x radius x (arc’s central angle/360), where the arc’s central angle is measured in degrees.

How do you find the length of the arc on a circle of radius R intercepted by a central angle θ?

The length of the arc on a circle of radius r intercepted by a central angle θ is S = r × θ.

What is the length of the arc subtended by a central angle of 80 in a circle with the radius of 9 cm?

For context, the length S of an arc that subtends a central angle of theta in radians in a circle of radius r is given by S = r*(theta). For this problem, r = 4 meters, and theta = 80 degrees, which converts to 80*(pi/180) radians, or 4/9 pi radians. So, the arc length S = 4*(4/9 pi) = 16/9 pi meters.

What is the length of the diameter of a circle?

The diameter of a circle is a line segment that passes through the center of a circle and has two endpoints at the circumference. It is twice the length of the radius of a circle, i.e., Diameter = 2 × Radius.

What is the angle of an arc of circular length 15.7 cm?

Find the central angle of a segment whose arc length is 15.7 cm and radius is 6 cm. Therefore, the central angle is 150 degrees.

How do you find the arc length of a circle?

The radius is the distance from the Earth and the Sun: 149.6 million km. The central angle is a quarter of a circle: 360° / 4 = 90°. Use the central angle calculator to find arc length. You can try the final calculation yourself by rearranging the formula as:

What will be the angle between the ends of the arc?

What will be the angle between the ends of the arc? Let’s say it is equal to 45 degrees, or π/4. Calculate the arc length according to the formula above: L = r * θ = 15 * π/4 = 11.78 cm. Calculate the area of a sector: A = r² * θ / 2 = 15² * π/4 / 2 = 88.36 cm².

How do you find the length of a 45 degree arc?

Let’s say it is equal to 45 degrees, or π/4. Calculate the arc length according to the formula above: L = r * θ = 15 * π/4 = 11.78 cm. Calculate the area of a sector: A = r² * θ / 2 = 15² * π/4 / 2 = 88.36 cm².

How to find the length of an arc and sector area?

How to find the length of an arc and sector area: an example. Calculate the area of a sector: A = r² * Θ / 2 = 15² * π/4 / 2 = 88.36 cm². You can also use the arc length calculator to find the central angle or the radius of the circle. Simply input any two values into the appropriate boxes and watch it conducting all calculations for you.