Circumference and Perimeter of Circles

The video tutorial covers various methods to calculate the circumference of a circle, including using the exact pi symbol, an approximation of pi as 22/7, and the pi button on a calculator. It also explores problems involving a circle within a square and the perimeter of a semicircle. Additionally, it compares paths on a map using semicircles to determine the shorter route.

What is the formula for the circumference of a circle in terms of pi?

• C = pi * D

• C = 2 * pi * R

• C = pi * R^2

• C = 2 * D

When using pi as 22/7, what is the approximate circumference of a circle with a radius of 14 cm?

• 88 cm

• 28 cm

• 56 cm

• 44 cm

How do you express the circumference of a circle using the pi button on a calculator?

• C = pi * R^2

• C = 2 * pi * R

• C = pi * D

• C = 2 * D

What is the relationship between the diameter of a circle and the side of a square when the circle is inscribed in the square?

• The diameter is equal to the side of the square.

• The diameter is half the side of the square.

• The diameter is twice the side of the square.

• The diameter is unrelated to the side of the square.

If the diameter of a circle is 16 cm, what is its circumference using pi approximated as 3.14?

• 50.24 cm

• 48 cm

• 52 cm

• 45.12 cm

What is the formula for the perimeter of a semicircle?

• P = 2 * pi * R

• P = pi * D

• P = D + (1/2 * pi * D)

• P = pi * R^2

If the diameter of a semicircle is 17 inches, what is its perimeter using pi approximated as 3.14?

• 40 inches

• 42.5 inches

• 45 inches

• 43.69 inches

How do you calculate the circumference of a semicircle?

• C = 2 * pi * R

• C = 1/2 * pi * D

• C = pi * D

• C = pi * R^2

In the problem involving two semicircles and a larger semicircle, what is the total length of the path along the two semicircles?

• 8 km

• 3.14 km

• 6.28 km

• 4 km

What conclusion can be drawn about the paths in the semicircle problem?

• The path along the two semicircles is shorter.

• The path along the larger semicircle is shorter.

• Both paths are equal in length.

• The path along the two semicircles is longer.