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Questions and Answers
A tree requires a circular space for its roots to grow with a diameter of 16 feet. If a second tree needs $\frac{5}{4}$ of the area of the first tree, what is the area required by the second tree?
A tree requires a circular space for its roots to grow with a diameter of 16 feet. If a second tree needs $\frac{5}{4}$ of the area of the first tree, what is the area required by the second tree?
- $100\pi \text{ ft}^2$
- $64\pi \text{ ft}^2$
- $128\pi \text{ ft}^2$
- $80\pi \text{ ft}^2$ (correct)
What is the area of a circular garden with a radius of 15 feet?
What is the area of a circular garden with a radius of 15 feet?
- $15\pi \text{ ft}^2$
- $225\pi \text{ ft}^2$ (correct)
- $450\pi \text{ ft}^2$
- $30\pi \text{ ft}^2$
If the diameter of a circle doubles, the area also doubles.
If the diameter of a circle doubles, the area also doubles.
False (B)
A circular rose bush bed has circumference of $8\pi$ inches. What is the measure of its radius in inches?
A circular rose bush bed has circumference of $8\pi$ inches. What is the measure of its radius in inches?
The formula to find the area of a circle given its radius, r, is $A = \pi$ ___
The formula to find the area of a circle given its radius, r, is $A = \pi$ ___
Match each term related to circles with its correct formula:
Match each term related to circles with its correct formula:
If the radius of a circle is multiplied by 4, how does the area change?
If the radius of a circle is multiplied by 4, how does the area change?
The circumference of a circle with radius $r$ is equal to $\pi r^2$.
The circumference of a circle with radius $r$ is equal to $\pi r^2$.
The area of a circle is $100\pi$ square inches. What is its radius in inches?
The area of a circle is $100\pi$ square inches. What is its radius in inches?
The diameter of a circle is always ___ the length of its radius.
The diameter of a circle is always ___ the length of its radius.
A gardener is planting two circular flower beds. The first has a radius of 5 feet, and the second has a radius of 10 feet. How many times larger is the area of the second flower bed compared to the first?
A gardener is planting two circular flower beds. The first has a radius of 5 feet, and the second has a radius of 10 feet. How many times larger is the area of the second flower bed compared to the first?
If a circle has a diameter of 7 inches, then its radius is 14 inches.
If a circle has a diameter of 7 inches, then its radius is 14 inches.
The circumference of a circle is approximately 31.4 inches. Using $\pi \approx 3.14$, what is the diameter in inches?
The circumference of a circle is approximately 31.4 inches. Using $\pi \approx 3.14$, what is the diameter in inches?
A circular pizza has a diameter of 12 inches. To find the area, you first need to find the radius, which is ___ inches.
A circular pizza has a diameter of 12 inches. To find the area, you first need to find the radius, which is ___ inches.
Match the description with the correct term related to a circle:
Match the description with the correct term related to a circle:
A circular pool has a diameter of 20 feet. What is its area?
A circular pool has a diameter of 20 feet. What is its area?
The area of a circle with a radius of 1 inch is less than 3 square inches.
The area of a circle with a radius of 1 inch is less than 3 square inches.
If the area of a circle is $256\pi$ square inches, what is the length of its radius in inches?
If the area of a circle is $256\pi$ square inches, what is the length of its radius in inches?
To calculate the circumference of a circle, multiply the diameter by ___.
To calculate the circumference of a circle, multiply the diameter by ___.
Match the concepts:
Match the concepts:
Flashcards
What is Diameter?
What is Diameter?
The distance across a circle passing through the center
Area of a circle formula
Area of a circle formula
Area = π * radius²
Root Area of Tree 1
Root Area of Tree 1
The area of the first tree's roots is 64π ft²
Root Area of Tree 2
Root Area of Tree 2
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Circumference of Bush 2
Circumference of Bush 2
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Radius of Bush 2
Radius of Bush 2
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Area of Rose Bush #1
Area of Rose Bush #1
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Study Notes
- For a tree in Mrs. V's garden:
First Tree Area
- Diameter is 16 feet
- The area is calculated as A = π * 8^2 = 64π ft^2
Second Tree Area
- Needs 5/4 of the area of the first tree
- Area calculated = (5/4) * [64Ï€] = 80Ï€ ft^2
Rose Bushes
- Two different rose bushes are planted in Mrs. Welch's backyard garden.
- Each rose bush requires a specific amount of space.
- The second bush needs a circular place with a circumference of 8Ï€ inches.
- The first bush needs a circular space that has a radius four times the radius of the second bush.
Calculations
- The radius of the second bush is 4 inches.
- The area needed for the first rose bush has a radius four times the radius of the second -> R = 16
- The area for the first rose bush is calculated as 256Ï€ inch^2
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