Exploring the Fundamentals of Circles

The video tutorial explains the basic properties of circles, including the concepts of radius, diameter, circumference, and area. It demonstrates how to calculate the diameter from the radius and vice versa, using examples like a pizza and a table. The tutorial also covers the formula for circumference using pi and illustrates how to derive the area of a circle by visualizing it as a rectangle formed by rearranging triangular segments. Key mathematical formulas such as d = 2r, C = πd, and A = πr² are introduced and applied in practical examples.

What tool is used to draw a circle?

• Ruler

• Compasses

• Protractor

• Eraser

What is the term used to describe the distance from the center of a circle to any point on its edge?

• Circumference

• Diameter

• Area

• Radius

How is the diameter of a circle related to its radius?

• Diameter is the radius squared

• Diameter is half the radius

• Diameter is the radius divided by two

• Diameter is twice the radius

Tags

CCSS.7.G.B.4

If a round table has a diameter of 100 cm, what is its radius?

• 25 cm

• 50 cm

• 100 cm

• 200 cm

Tags

CCSS.7.G.B.4

What constant value is used to calculate the circumference of a circle?

• √2

• e

• π

• 2

Tags

CCSS.7.G.B.4

How do you calculate the circumference of a circle?

• π times radius

• π times diameter

• 2π times radius

• π divided by diameter

Tags

CCSS.7.G.B.4

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

• Circumference is half of the diameter

• Circumference is the square root of the diameter

• Circumference is π times the diameter

• Circumference is twice the diameter

Tags

CCSS.7.G.B.4

What shape do the divided parts of a circle resemble when calculating its area?

• Square

• Equilateral triangle

• Isosceles triangle

• Rectangle

What is the formula to calculate the area of a circle?

• πr

• πd²

• 2πr

• πr²

Tags

CCSS.7.G.B.4

If the radius of a circle is 14 cm, what is its area?

• 308 cm²

• 616 cm²

• 882 cm²

• 1232 cm²

Tags

CCSS.7.G.B.4