Geometry Lessons 10-13

Circles

100

What is the Formula for the Area of a Circle?

A= πr²

200

What is the formula for the volume of a cylinder?

V= πr²h

300

The circle shown on the board has a diameter of 14inches. What is the circumference of the circle, in inches? (round to the nearest whole number)

44in

400

The circle shown on the board has a diameter of 12 meters. What is the area of the circle, in square meters? (round to the nearest whole number)

113m²

500

The figure on the board shows a small circle with a diameter AC and a large circle with a diameter AB that is 32 inches long. Point C is the center of the large circle. What is the area, in square inches, of the small circle? (round to the nearest whole number)

201in²

Triangles

100

What is the formula for the Area of a Triangle?

A= 1/2bh

200

How do you find the Volume of a triangular prism?

V= 1/2bh * h₁

300

The area of the triangle shown on the board is 36 square centimeters. If the height (BD) is 9cm, how long is the base (AC), in centimeters?

8cm

400

In the rectangle shown on the board, H is a point on side EF of rectangle DEFG. The measurements given are in centimeters. What is the Area of triangle DHG, in square centimeters?

27cm²

500

A right triangular prism that is 12inches long, 3 inches wide, and 4 inches tall is represented by the figure drawn on the board. What is the volume of the prism, in cubic inches?

72in³

Squares/Rectangles

100

How do you find the Area of a Square or Rectangle?

A= L * w

200

How do you find the Volume of a Cube or Rectangular Prism?

V= L * W * H

300

Five congruent Squares are put together without gaps or overlap to form a figure shaped like a plus sign. The perimeter of the figure is 108cm. Find the area of the figure, in cm².

405cm²

400

In the figure on the board, the area of the larger square is 100 square inches, and the area of the smaller square is 64 square inches. What is x, in inches?

2in

500

The length of the rectangular prism shown on the board is 3 times the width. The height and the width are the same. If the Volume of the prism is 81 cubic centimeters, what is the length of the prism, in centimeters?

9cm

Perimeter/Line Segments

100

How do you find the perimeter of a shape?

Add all the sides together

200

The figure drawn on the board is composed of equilateral triangle ABD and another equilateral triangle BCD. The length of AD is 12 inches. What is the perimeter of the figure ABCD?

48 in

300

Joseph is constructing a rectangular fence for his garden. A diagram of the fence is drawn on the board. Which of the following expressions gives the perimeter of Joseph's fence?

6b+10

400

Points X and Y lie on line WZ as shown on the board. The lengths of WZ is 36 inches; WY is 16 inches long; and XZ is 28 inches long. How many inches long is XY?

8in

500

Triangle ABC has a perimeter of 53 centimeters with a side that is 18cm long. The lengths of the remaining two sides have a ratio of 3:4. What is the length, in centimeters, of the shortest side of the triangle?

15cm

Word Problems

100

A community is planning a renovation for their football field. They are putting a new fence around the field. The rectangular region will be 400ft by 200ft with an area of 80,000ft. What is the total length of the fence, in feet?

1,200ft

200

Points A, B, C, and D lie on a line in the given order. Point C is the midpoint of BD, AC is 10mm long, and AD is 15mm long. How many millimeters long is BD?

10

300

In a certain rectangle, the ratio of the lengths of adjacent sides is 4 to 3. If the area of the rectangle is 192 square inches, what is the length, in inches, of the longer side?

16in

400

If the diameter of a circle is doubled, that area of the resulting circle is how many times the area of the original circle?

4 times larger

500

A hot tub, which is a right rectangular prism, is filled with 480 cubic feet of water. It is 12ft long and 10ft wide. What is the depth of the water in the hot tub? Round your answer to the nearest foot.

4ft