Perimeter and Area of Shapes

The video tutorial explains how to determine the perimeter and area of a composite figure consisting of a square and two half circles. It covers the formulas for calculating the perimeter and area of circles and squares, and demonstrates the step-by-step process of applying these formulas to find the exact and approximate values. The tutorial emphasizes understanding the relationship between the diameter, radius, and circumference of circles, as well as the side length of squares. It concludes with rounding the calculated values to two decimal places.

What is the perimeter of a circle in terms of its diameter?

• 2πr

• πr

• πd

• d/2

How do you calculate the perimeter of a square?

• πd

• 2πr

• 4s

• s^2

Which of the following is true about the sum of the lengths around the two half circles?

• It is twice the circumference of a full circle

• It is the same as the perimeter of the square

• It equals the circumference of a full circle

• It is half the circumference of a full circle

What is the exact perimeter of the given figure before rounding?

• 16 + 8π inches

• 32 + 4π inches

• 24 + 2π inches

• 8 + 16π inches

What is the rounded perimeter of the figure to two decimal places?

• 40.00 inches

• 42.00 inches

• 39.50 inches

• 41.13 inches

What is the formula for the area of a circle?

• r^2

• πd

• 2πr

• πr^2

How do you calculate the area of a square?

• 2πr

• 4s

• s^2

• πd

What is the radius of the circle if the diameter is 8 inches?

• 2 inches

• 4 inches

• 8 inches

• 16 inches

What is the exact area of the given figure before rounding?

• 16 + 32π square inches

• 32 + 8π square inches

• 64 + 16π square inches

• 128 + 4π square inches

What is the rounded area of the figure to two decimal places?

• 110.00 square inches

• 114.27 square inches

• 120.00 square inches

• 100.50 square inches