What is the area of a circular sector with a central angle of 120 degrees and a radius of 2 cm?

May 6, 2026Mathematics

ScanSolve AI Answer

May 6, 2026

Answer

\frac{\theta}{360^\circ} \times \pi r^2$$

To find the area of a circular sector, we use the formula: $A = \frac{\theta}{360^\circ} \times \pi r^2$ where $\theta$ is the central angle in degrees and $r$ is the radius of the circle.

Step 1: Identify the given values. The central angle $\theta = 120^\circ$ . The radius $r = 2$ cm.

Step 2: Substitute the values into the formula. $A = \frac{120^\circ}{360^\circ} \times \pi (2 cm)^2$

Step 3: Simplify the expression.

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Quick Answer

To find the area of a circular sector, we use the formula: A = ()/(360^) × r^2 where is the central angle in degrees and r is the radius of the circle.

Asked on May 6, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 6, 2026

To find the area of a circular sector, we use the formula: A = ()/(360^) × r^2 where is the central angle in degrees and r is the radius of the circle. Step 1: Identify the given values. The central angle = 120^. The radius r = 2 cm. Step 2: Substitute the values into the formula. A = (120^)/(360^) × (2 cm)^2 Step 3: Simplify the expression. A = (1)/(3) × (