Areas Related to Circles

Answer

A sector of a circle is the portion (or part) of the circular region enclosed by two radii and the corresponding arc. It looks like a slice of pizza, with the vertex at the center of the circle.

Answer

A segment of a circle is the portion (or part) of the circular region enclosed between a chord and the corresponding arc. It is the region cut off by a chord from the circle.

Answer

A minor sector is the smaller sector formed by two radii, while the major sector is the larger remaining portion. If the angle of the minor sector is θ, then the angle of the major sector is (360° - θ

Answer

A minor segment is the smaller segment formed by a chord (usually less than semicircle), while the major segment is the larger remaining portion of the circle after removing the minor segment.

Answer

The angle of a sector is the angle formed by the two radii at the center of the circle. It is denoted by θ (theta) and is usually measured in degrees.

Answer

Area of sector = (θ/360°) × πr² Where: - θ = angle of sector in degrees - r = radius of the circle - π = 22/7 or 3.14159...

Answer

Length of arc = (θ/360°) × 2πr Where: - θ = angle of sector in degrees - r = radius of the circle - 2πr = circumference of the complete circle

Answer

Area of segment = Area of corresponding sector - Area of corresponding triangle Area of segment = (θ/360°) × πr² - Area of triangle OAB Where triangle OAB is formed by the two radii and the chord.