Plane Geometry Review Game

Front

What is the formula for the area of a circle?

Back

The formula for the area of a circle is πr², where r is the radius.

Front

What is the area of a square with a side length of 2 inches?

Back

The area of the square is 4 sq. in. (Area = side × side).

Front

If a person who is 1.3 meters tall casts a shadow of 5.2 meters, how can we find the length of a lamppost's shadow?

Back

Use the proportion of heights to shadows: (height of person / length of person's shadow) = (height of lamppost / length of lamppost's shadow).

Front

What is the height of a triangle if the base is 14 and the area is 84?

Back

The height can be found using the formula: Area = (base × height) / 2. Here, height = (2 × Area) / base = (2 × 84) / 14 = 12.

Front

What is the diameter of a circle with a radius of 6 cm?

Back

The diameter is 12 cm (Diameter = 2 × radius).

Front

What is the formula for the circumference of a circle?

Back

The formula for the circumference of a circle is C = 2πr, where r is the radius.

Front

If the area of a rectangle is 20 sq. in. and the length is 5 in., what is the width?

Back

The width can be found using the formula: Area = length × width. Here, width = Area / length = 20 / 5 = 4 in.

Front

What is the relationship between the radius and diameter of a circle?

Back

The diameter is twice the radius (Diameter = 2 × radius).

Front

How do you calculate the area of a triangle?

Back

The area of a triangle is calculated using the formula: Area = (base × height) / 2.

Front

What is the area of a rectangle with a length of 8 in. and a width of 3 in.?

Back

The area is 24 sq. in. (Area = length × width = 8 × 3).