Calculating Areas and Arcs in Circles Quiz

Area of a circle is calculated by multiplying the square of the radius by pi.

The area of a circle with a radius of 5 units is 25 times pi square units.

The diameter of a circle is twice the length of its radius.

Circumference is equal to twice the product of pi and the radius.

The radius can be found by dividing the circumference by twice the value of pi.

Circumference is found by multiplying the radius of the circle by 2 pi.

The radius of the circle is 3 units, calculated by dividing the circumference by 2 pi.

Reducing the radius by half results in the area being reduced to one-half of the original.

The radius is half the diameter, so it is 7 units.

Tripling the radius results in the area being increased to nine times the original.

The radius is 6 units, obtained by taking the square root of the ratio of the area to pi.

Arc length is determined by multiplying the central angle (in radians) by the radius of the circle.

The arc length is 2 pi units, calculated by multiplying the central angle (converted to radians) by the radius.

The sector area is obtained by multiplying half of the central angle (in radians) by the square of the radius.

The sector area is 150 pi square units, calculated using the formula.

Chord length is determined by doubling the product of the radius and the sine of half the central angle (in radians).

The inscribed angle is twice the arcsine of half the ratio of the chord length to the radius.