Formula for finding the area of a section

July 1, 2026Mathematics

ScanSolve AI Answer

July 1, 2026

Answer

$A = \frac{\theta}{360^\circ} \pi r^2 (if \theta is in degrees) or A = \frac{1}{2} r^2 \theta (if \theta \text{ is in radians)}$

A section in geometry often refers to a sector of a circle. A sector is a portion of a circle enclosed by two radii and the arc connecting them.

The formula for the area of a sector depends on whether the angle is given in degrees or radians.

If the central angle $\theta$ is in degrees: $A = \frac{\theta}{360^\circ} \pi r^2$ where $r$ is the radius of the circle.

If the central angle $\theta$ is in radians: $A = \frac{1}{2} r^2 \theta$ where $r$ is the radius of the circle.

The formula for finding the area of a section (sector) is: $\boxed{A = \frac{\theta}{360^\circ} \pi r^2 (if \theta is in degrees) or A = \frac{1}{2} r^2 \theta (if \theta is in radians)}$ Got more? Send 'em 📸

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp

More Mathematics Questions

QGiven that Q = [[2, 1, 3], [2, 1, 2], [1, 2, 1]], find |Q|. Evaluate A⁻¹ x A.QIf T = 2π√(L/G), make G the subject of the formula. Hence, find the value of G to the nearest whole…QFind the distance between the points A(-3, 2) and B(4, -6). Find the acute angle between the lines 2…QTable 2.2 shows the scores of candidates in an entrance examination into a college. (a) Prepare a cu…QUse logarithm table to evaluate 53.76 x 0.536 / (0.124)3 x 0.325. (b) Solve the equation 3/(x+2) = 5…

See all Mathematics questions →

Still have questions?

Quick Answer

A section in geometry often refers to a sector of a circle. A sector is a portion of a circle enclosed by two radii and the arc connecting them.

Asked on July 1, 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 July 1, 2026

A section in geometry often refers to a sector of a circle. A sector is a portion of a circle enclosed by two radii and the arc connecting them. The formula for the area of a sector depends on whether the angle is given in degrees or radians. If the central angle is in degrees: A = ()/(360^) r^2 where r is the radius of the circle. If the central angle is in radians: A = (1)/(2) r^2 where r is the radius of the circle. The formula for finding the area of a section (sector) is: A = ()/(360^) r^2 (if is in degrees) or A = (1)/(2) r^2 (if is in radians) Got more? Send 'em 📸

Asked on July 1, 2026Mathematics

ScanSolve AI AnswerAnswered on July 1, 2026

A section in geometry often refers to a sector of a circle. A sector is a portion of a circle enclosed by two radii and the arc connecting them. The formula for the area of a sector depends on whether the angle is given in degrees or radians. If the central angle is in degrees: A = ()/(360^) r^2 where r is the radius of the circle. If the central angle is in radians: A = (1)/(2) r^2 where r is the radius of the circle. The formula for finding the area of a section (sector) is: A = ()/(360^) r^2 (if is in degrees) or A = (1)/(2) r^2 (if is in radians) Got more? Send 'em 📸