Area of Circles and Composite Figures

Front

What is the formula for the area of a circle?

Back

The area of a circle is calculated using the formula A = πr², where A is the area and r is the radius.

Front

How do you find the area of a triangle?

Back

The area of a triangle can be found using the formula A = 1/2 * base * height.

Front

What is the difference between diameter and radius?

Back

The diameter is twice the length of the radius. The radius is the distance from the center of the circle to any point on its circumference.

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated using the formula A = length * width.

Front

How do you calculate the area of a composite figure?

Back

To calculate the area of a composite figure, break it down into simpler shapes (like rectangles, triangles, and circles), calculate the area of each shape, and then sum those areas.

Front

What is the area of a triangle with a base of 6 cm and a height of 8 cm?

Back

The area is A = 1/2 * 6 cm * 8 cm = 24 sq cm.

Front

If the radius of a circle is 5 cm, what is its area?

Back

The area is A = π(5 cm)² ≈ 78.54 sq cm.

Front

What is the area of a rectangle with a length of 5 cm and a width of 3 cm?

Back

The area is A = 5 cm * 3 cm = 15 sq cm.

Front

How do you find the area of a triangle given its three sides?

Back

You can use Heron's formula: A = √[s(s-a)(s-b)(s-c)], where s is the semi-perimeter (s = (a+b+c)/2) and a, b, c are the lengths of the sides.

Front

What is the area of a triangle with a base of 4 in and a height of 6 in?

Back

The area is A = 1/2 * 4 in * 6 in = 12 in².