1. The diameter of a circle is always twice its radius.
2. The circumference of a circle is the distance across the circle through its center.
3. Pi (\( \pi \)) is the ratio of a circle's circumference to its diameter.
4. The area of a circle is calculated using the formula \( A = \pi r \).
5. A radius connects two distinct points on the circle's edge.
✏️ 2. Fill in the Blanks
1. The distance around a circle is called its .
2. A line segment connecting the center of a circle to any point on its edge is called the .
3. The formula for the area of a circle is .
4. A is a part of the circumference of a circle.
5. The longest chord in a circle is its .
🔗 3. Matching
« A line segment from the center of a circle to any point on its edge.
« A line segment passing through the center of a circle with both endpoints on the circle.
« The total distance around the outside of a circle.
« The amount of surface enclosed within a circle.
« The constant ratio of a circle's circumference to its diameter, approximately 3.14.
✍️ 4. Short Answer Questions
1. How do you find the diameter of a circle if you are given its radius?
💡 Suggested Answer: To find the diameter, you multiply the radius by 2. The formula is \( d = 2r \).
2. What is the commonly used approximate value for Pi (\( \pi \)) in calculations?
💡 Suggested Answer: The commonly used approximate value for Pi (\( \pi \)) is 3.14 or \( \frac{22}{7} \).
🎯 5. Multiple Choice
1. If the radius of a circle is 5 cm, what is its diameter?
2. Which formula correctly calculates the circumference of a circle?
3. A circular garden has a diameter of 14 feet. What is its area? (Use \( \pi \approx \frac{22}{7} \))
📝 6. Open-Ended Questions
1. A bicycle wheel has a radius of 30 cm. Calculate the circumference of the wheel. (Use \( \pi \approx 3.14 \))
💡 Solution Steps:
To find the circumference of the wheel, we use the formula \( C = 2\pi r \).
Given:
Radius \( r = 30 \) cm
\( \pi \approx 3.14 \)
Substitute the values into the formula:
\( C = 2 \times 3.14 \times 30 \)
\( C = 6.28 \times 30 \)
\( C = 188.4 \) cm
The circumference of the bicycle wheel is 188.4 cm.
2. A circular swimming pool has a diameter of 10 meters. What is the area of the water surface? (Use \( \pi \approx 3.14 \))
💡 Solution Steps:
To find the area of the water surface, we first need the radius. The formula for the area of a circle is \( A = \pi r^2 \).
Given:
Diameter \( d = 10 \) meters
\( \pi \approx 3.14 \)
First, calculate the radius:
\( r = \frac{d}{2} = \frac{10}{2} = 5 \) meters
Now, substitute the radius and \( \pi \) into the area formula:
\( A = 3.14 \times (5)^2 \)
\( A = 3.14 \times 25 \)
\( A = 78.5 \) square meters
The area of the water surface of the swimming pool is 78.5 square meters.
3. A circular pizza has a circumference of 50.24 inches. What is its radius? (Use \( \pi \approx 3.14 \))
💡 Solution Steps:
To find the radius, we use the circumference formula \( C = 2\pi r \) and rearrange it to solve for \( r \).
Given:
Circumference \( C = 50.24 \) inches
\( \pi \approx 3.14 \)
Substitute the given values into the formula:
\( 50.24 = 2 \times 3.14 \times r \)
\( 50.24 = 6.28 \times r \)
Now, divide both sides by 6.28 to find \( r \):
\( r = \frac{50.24}{6.28} \)
\( r = 8 \) inches
The radius of the circular pizza is 8 inches.
Name Surname: .................................. Date: .... / .... / 202...
Circles Worksheet
SCORE
A. True (T) / False (F)
( .... )
The diameter of a circle is always twice its radius.
( .... )
The circumference of a circle is the distance across the circle through its center.
( .... )
Pi (\( \pi \)) is the ratio of a circle's circumference to its diameter.
( .... )
The area of a circle is calculated using the formula \( A = \pi r \).
( .... )
A radius connects two distinct points on the circle's edge.
B. Fill in the Blanks
1)
The distance around a circle is called its .....................
2)
A line segment connecting the center of a circle to any point on its edge is called the .....................
3)
The formula for the area of a circle is .....................
4)
A .................... is a part of the circumference of a circle.
5)
The longest chord in a circle is its .....................
C. Matching Concepts
( .... )
A line segment from the center of a circle to any point on its edge.
- Diameter
( .... )
A line segment passing through the center of a circle with both endpoints on the circle.
- Circumference
( .... )
The total distance around the outside of a circle.
- Radius
( .... )
The amount of surface enclosed within a circle.
- Pi (\( \pi \))
( .... )
The constant ratio of a circle's circumference to its diameter, approximately 3.14.
- Area
D. Short Answer Questions
1)
How do you find the diameter of a circle if you are given its radius?
2)
What is the commonly used approximate value for Pi (\( \pi \)) in calculations?
E. Multiple Choice Questions
1)
If the radius of a circle is 5 cm, what is its diameter?
A) A: 2.5 cmB) B: 5 cmC) C: 10 cmD) D: 25 cm
2)
Which formula correctly calculates the circumference of a circle?
A) A: \( C = \pi r^2 \)B) B: \( C = 2\pi r \)C) C: \( C = \pi d^2 \)D) D: \( C = r^2 \)
3)
A circular garden has a diameter of 14 feet. What is its area? (Use \( \pi \approx \frac{22}{7} \))