Geometry Quiz: Circles and Squares

What is the radius of the larger circle in the problem?

• 3 units

• 2 units

• 5 units

• 4 units

What is the purpose of drawing the diagonal in the square?

• To split the square into two triangles

• To measure the angles of the square

• To find the area of the square

• To determine the distance between the centers of the circles

What is the distance between the centers of the two circles?

• 5 units

• 4 units

• 3 units

• 6 units

In the right triangle formed, what is the measure of each of the non-right angles?

• 30 degrees

• 90 degrees

• 60 degrees

• 45 degrees

Using the Pythagorean theorem, what is the length of each side of the isosceles triangle?

• 5 over square root of 2

• 5 square root of 2

• 10 units

• 5 units

What is the total length of the side of the square?

• 5 plus 5 over square root of 2

• 5 square root of 2

• 5 units

• 10 units

How do you calculate the area of the square?

• Multiply the side by 4

• Square the side length

• Add the side lengths

• Subtract the side lengths

What is the formula for the area of a circle?

• pi r

• pi r squared

• r squared

• 2 pi r

What is the area of the larger circle?

• 3 pi

• 4 pi

• 6 pi

• 9 pi

What is the approximate area of the shaded region?

• 34 square units

• 28 square units

• 32 square units

• 30 square units