Properties of Quarter Circle

A quarter circle is a two-dimensional geometric shape consisting of one-fourth of a complete circle, with properties including:

A quarter circle subtends a right angle (90 degrees) at its center.

The length of the arc of a quarter circle is equal to one-fourth of the circumference of the full circle from which it is derived.

A quarter circle has rotational symmetry of order four. This means that it looks the same after a rotation of 90, 180, or 270 degrees about its center.

A quarter circle divides the coordinate plane into four quadrants. It lies entirely in the first quadrant if the center of the circle is at the origin.

The perimeter of a quarter circle includes the length of the arc plus the lengths of the two radii.

Quarter Circle

Quarter circle is an element of a circular shape that occupies one-fourth of the circle’s perimeter edge and has the same ratio in terms of the area, forming a right angle with the adjacent plane.

This article provides a background on the quarter circle by discussing its formulas and properties as well as real-life uses and gives examples about calculating the area and perimeter of the figure, and problems to solve for practice.

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