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##### Asked by: Hassiba Baranowski

science physics# How do you find the angle of a sector in a pie chart?

Last Updated: 3rd March, 2020

**1 Answer**

- In any
**sector**, there are 3 parts to be considered: - The arc length is a fraction of the circumference.The
**sector**area is a fraction of the whole area. The**sectorangle**is a fraction of 360° - If the
**sector**is 20% of the**pie chart**, theneachof these parts is 20% of the whole. - 20%×360°
- 20100×360=72°

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Similarly, it is asked, how do you find the degree of a sector of a circle?

Explanation: If the central angle measures60**degrees**, divide the 360 total **degrees** inthe**circle** by 60. Multiply this by the measure ofthecorresponding arc to **find** the total circumference ofthe**circle**. Use the circumference to **find** theradius,then use the radius to **find** the area.

Subsequently, question is, what is a central angle in a pie chart? In a **pie chart**, the various observationsorcomponents are represented by the sectors of a circle and thewholecircle represents the sum of the values of all components.The**central angle** for a component is given by:**Centralangle** for a component = Value of the componentSum ofthe valuesof all components × 360°

Keeping this in view, how do you find the degree of a percentage?

A circle has 360 **degrees**, so if you wanttoexpress an angle in terms of a **percentage**, just dividetheangle measurement (in **degrees**) by 360 and multiply by100.In reverse, divide the **percentage** by 100 and multiplyby360.

What is the formula to find the central angle?

**Formula** for S=rθ The picture below illustrates the relationshipbetweenthe radius, and the **central angle** in radians.The**formula** is S=rθ where s represents the arclength,S=rθ represents the **central angle** in radiansand r isthe length of the radius.