Geo CH 1.7 Area and Perimeter of circles, kites, trapezoids, etc

Front

What is the formula for the area of a circle?

Back

Area = πr², where r is the radius.

Front

What is the formula for the perimeter (circumference) of a circle?

Back

Circumference = 2πr, where r is the radius.

Front

What is the formula for the area of a kite?

Back

Area = (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals.

Front

What is the formula for the area of a trapezoid?

Back

Area = (1/2) * (b1 + b2) * h, where b1 and b2 are the lengths of the bases and h is the height.

Front

How do you find the radius of a circle if you know the area?

Back

Use the formula r = √(Area/π).

Front

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

Back

Diameter = 2 * Radius.

Front

If a trapezoid has an area of 64 square meters and one base is 12 meters, how do you find the other base?

Back

Use the formula: Area = (1/2) * (b1 + b2) * h and solve for b2.

Front

What is the area of a semicircle with a radius of 5 cm?

Back

Area = (1/2) * π * (5)² = 12.5π cm².

Front

How do you calculate the area of a shaded region in a trapezoid with circles inside?

Back

Subtract the area of the circles from the area of the trapezoid.

Front

What is the area of a triangle with a base of 10 cm and a height of 5 cm?

Back

Area = (1/2) * base * height = (1/2) * 10 * 5 = 25 cm².