Podcast
Questions and Answers
What is the radius of a circle if its diameter is 12 units?
What is the radius of a circle if its diameter is 12 units?
- 24 units
- 12 units
- 3 units
- 6 units (correct)
How would you express the radius of a circle in terms of its circumference?
How would you express the radius of a circle in terms of its circumference?
- r = 2Ï€C
- r = C / (2Ï€) (correct)
- r = πC
- r = C / π
What is the area of a triangle with a base of 8 units and a height of 5 units?
What is the area of a triangle with a base of 8 units and a height of 5 units?
- 40 square units
- 10 square units
- 20 square units (correct)
- 30 square units
If a circle has a circumference of 31.4 units, what is the radius?
If a circle has a circumference of 31.4 units, what is the radius?
Which formula correctly calculates the area of a triangle?
Which formula correctly calculates the area of a triangle?
Flashcards
Diameter (d)
Diameter (d)
The distance across a circle passing through its center.
Radius (r)
Radius (r)
Half the distance across a circle.
Circumference (C)
Circumference (C)
The distance around a circle.
Area (A)
Area (A)
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Height (h) of a triangle
Height (h) of a triangle
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Study Notes
Geometric Formulas
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Radius (r) equals Diameter (d) divided by two: The radius is half the diameter. Diameter is the distance across a circle through its center. Mathematically: r = d / 2
-
Radius (r) equals Circumference (C) divided by two pi: Radius is calculated by dividing the circumference by two times pi. Circumference is the distance around the circle. Pi (Ï€) is approximately 3.14159. r = C / (2Ï€)
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Area (A) equals one-half of the base (b) times the height (h): This calculates the area of a triangle. The base is a side of the triangle, and the height is the perpendicular distance from the base to the opposite vertex. A = (1/2) * b * h
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