Geometry Review - Area and Arc Length

Flashcards covering area calculations (sectors, triangles, parallelograms, rhombus, trapezoids, circles, and box method) and arc length.

In a circle with a diameter of 10 cm and a central angle of 30°, the area of the sector formed by the 30° angle is approximately __.

6.5 cm²

In circle O with a radius of 9 and a central angle AOC of 120°, the area of the shaded sector is __.

54π units squared

The area of a sector of a circle with a radius of 15 cm is 75π cm². The measure of the central angle that forms the sector is __.

120°

The area of the shaded sector of Circle O with a radius of 6 ft and a minor arc AB length of 5π ft is __.

15π

When a circle is divided into equal sectors and rearranged to resemble a parallelogram, the base of the parallelogram is equivalent to __.

πr

When a circle is divided into equal sectors and rearranged to resemble a parallelogram, the height of the parallelogram is equivalent to __.

r

A circle with a radius of 5 was divided into 24 congruent sectors and rearranged. To the nearest integer, the value of x is __.

15.7

The formula to calculate the area of a sector is __.

sector area / πr² = 0/360

The area of a triangle with base 6 and height 5 is __.

15 units squared

The area of a triangle with base 5 and height 4 is __.

10 units squared

The area of a parallelogram with base 4 and height 2 is __.

8 units squared

The area of a parallelogram with base 4 and height 6 is __.

24 units squared

The area of a rhombus with diagonals of length 6 and 4 is __.

12 units squared

The area of a trapezoid with bases of length 3 and 11, and a height of 4 is __.

28 units

The area of a Circle is __.

πr²

The formula for calculating Arc Length is __.

S = (Θ/360) * 2πr