Unit 7 Recap

Aera (Backwards Area)

100

The area of a circle equals 201.1 in²

Find the radius of the circle. 

Radius is 8 inches 

200

The area of a circle is 50.24 km²

Find the radius.  

4 km

300

The area of a circle is 3215.36 mm²

Find the radius

The radius is 32 mm

400

The area of a circle is 1962.5 mi²

Find the diameter

The diameter is 50

(radius is 25, so 25+25=50) 

500

A sprinkler waters in a circular pattern, spraying water out 3.2 meters. 

Find the amount of surface it will it water.

32.15 m²

Circumference Backwards

100

The circumference of a circle is 62.8 m

Find the diameter? 

20 meters

200

The circumference of a circle is 12.6 yards.

Find the radius of the circle. 

The radius is 2 yards

300

The circumference of a circle is 25.15 inches.

Find the diameter.

8 inches

400

The circumference of a circle is 47.1 cm.

Find the radius of the circle. 

7.5 cm

500

A blueberry pancake has an area of 94.99 cm² 

Find the circumference of the pancake.

34.54 cm

Area of a Circle

100

The formula that you should use to find the area of a circle. 

Area = πr²

200

The radius of a circle is 6 cm

Find the area of the circle. 

113.04 cm²

300

The diameter of a circle measures 21 inches. 

Find the area

346.19 in²

400

A circular fountain has a radius of 5.75 yards.

Find the area of the fountain. 

103.82 yds²

500

You decide to order a 14" pizza for dinner this weekend. 

Find the total area of pizza.

153.86 in²

Circumference

100

What does circumference mean?

The distance around the circle. 

200

The equation you use to find the circumference of a circle if you are given the diameter. 

C = πd

300

The diameter of a circle is 10 km

Find the circumference.

31.4 km

400

The radius of a circle is 3.5 ft. 

Find the circumference. 

21.98 ft

500

A dime has a radius of 8.96 mm

Find the circumference of a dime.

56.27 mm

Triangle Review

100

Can the side lengths 5cm, 7cm, and 4cm form a triangle? 

Yes

5+4 = 9

9>7

200

How many triangles can be formed with side lengths 4 feet, 10 feet, 3 feet? 

No triangles (nonexistent) 

4+3=7

7<10

300

3 different angle measures are used to form a triangle. 

60 degrees, 75 degrees, and 45 degrees

How many triangles can be formed? 

ambiguously defined (more than one triangle)

60+75+45= 180

You can create MANY similar triangles with congruent angle measures.

400

A triangular fence is being formed with 3 wooden planks. The three planks measure 9 feet, 6 feet, and 14 feet. 

How many different triangles can be made? 

Only one triangle can be created with those 3 side lengths.

9+6= 15

15> 14

500

Two side of a triangle have lengths of 6 inches and 10 inches. What are the possible lengths of the 3rd side? 

The 3rd side can be between 4 and 16 inches in length.