The measure (in radians) of central angle θ in the circle below is equal to 2.5 radians.
In Mathematics and Geometry, the arc length formed by a circle can be calculated by using the following equation (formula):
Arc length, l = πr × θ/180
Where:
- r represents the radius of a circle.
- θ represents the central angle in radians.
Since the radius of this circle is equal to 2 cm and the length of arc substended is 5 cm, the central angle can be calculated by using this formula;
Central angle, θ = arc length/radius
Central angle, θ = 5/2
Central angle, θ = 2.5 radians.
Complete Question:
What is the measure (in radians) of central angle θ in the circle below?