Plane Geometry

Practice Questions

ACT Math › Plane Geometry

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1

Find the distance between the hour and minute hand of a clock at 2:00 with a hand length of .

2

The long diagonal of a kite measures inches, and cuts the shorter diagonal into two pieces. If one of those pieces measures inches, what is the length in inches of the short diagonal?

3

_arc1

The figure above is a circle with center at and a radius of . This figure is not drawn to scale.

What is the length of the arc in the figure above?

4

Given the following isosceles triangle:

Q1

In degrees, find the measure of the sum of and in the figure above.

5

Find the area of rectangle given width of 5 and length of 8.

6

_tri11

What is the value of in the triangle above? Round to the nearest hundredth.

7

Find the perimeter of an equilateral triangle whose side length is .

8

What is the area of a triangle with a circle inscribed inside of it, in terms of the circle's radius R?

Circleinscribedintriangle

9

A square with a side length of 4 inches is inscribed in a circle, as shown below. What is the area of the unshaded region inside of the circle, in square inches?

Act_math_01

10

Find the area of a square with side length 5.

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