Class 5 Exam > Class 5 Notes > Mathematics for Class 5 > Visual Worksheet: Exploring Circles (with Solutions)
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Page 1 Using your knowledge of circles, specifically radius, diameter and circumference, answer the following questions. EXPLORING CIRCLES Name: Class: 1. Find the radius for the following circles: d= 2cm d= 12cm d= 6.5cm Page 2 Using your knowledge of circles, specifically radius, diameter and circumference, answer the following questions. EXPLORING CIRCLES Name: Class: 1. Find the radius for the following circles: d= 2cm d= 12cm d= 6.5cm 2. Find the diameter for the following circles: 3. Find the circumference for these circles: r= 3cm r= 9cm r= 1.25cm r= 3cm d= 9cm Page 3 Using your knowledge of circles, specifically radius, diameter and circumference, answer the following questions. EXPLORING CIRCLES Name: Class: 1. Find the radius for the following circles: d= 2cm d= 12cm d= 6.5cm 2. Find the diameter for the following circles: 3. Find the circumference for these circles: r= 3cm r= 9cm r= 1.25cm r= 3cm d= 9cm The radius is half the diameter. 2÷2 = 1 radius = 1cm The radius is half the diameter. 12÷2 = 1 radius = 6cm The radius is half the diameter. 6.5÷2 = 1 radius = 3.25cm Using your knowledge of circles, specifically radius, diameter and circumference, answer the following questions. EXPLORING CIRCLES ANSWER KEY 1. Find the radius for the following circles: d= 2cm d= 12cm d= 6.5cm Page 4 Using your knowledge of circles, specifically radius, diameter and circumference, answer the following questions. EXPLORING CIRCLES Name: Class: 1. Find the radius for the following circles: d= 2cm d= 12cm d= 6.5cm 2. Find the diameter for the following circles: 3. Find the circumference for these circles: r= 3cm r= 9cm r= 1.25cm r= 3cm d= 9cm The radius is half the diameter. 2÷2 = 1 radius = 1cm The radius is half the diameter. 12÷2 = 1 radius = 6cm The radius is half the diameter. 6.5÷2 = 1 radius = 3.25cm Using your knowledge of circles, specifically radius, diameter and circumference, answer the following questions. EXPLORING CIRCLES ANSWER KEY 1. Find the radius for the following circles: d= 2cm d= 12cm d= 6.5cm 2. Find the diameter for the following circles: 3. Find the circumference for these circles: The diameter is double the radius. 3x2 = 6 diameter = 6cm The diameter is double the radius. 9x2 = 18 diameter = 18cm The diameter is double the radius. 1.25x2 = 2.5 diameter = 2.5cm C = 2 x pi x radius C = 2 x ?? x 3 C = 18.85cm (rounded to 2 dec.) radius = 4.5cm C = 2 x pi x radius C = 2 x ?? x 4.5 C = 28.27cm (rounded to 2 dec.) r= 3cm r= 9cm r= 1.25cm r= 3cm d= 9cmRead More
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FAQs on Visual Worksheet: Exploring Circles (with Solutions) - Mathematics for Class 5
| 1. What are the key properties of circles that I should know for my exam? |  |
Ans. The key properties of circles include the definition of a circle as the set of all points equidistant from a central point called the center. Important terms include radius (the distance from the center to any point on the circle), diameter (twice the radius), circumference (the distance around the circle), and area (the space enclosed by the circle). Understanding these properties is essential for solving related problems.
| 2. How do I calculate the circumference of a circle? | |
Ans. The circumference of a circle can be calculated using the formula C = 2πr, where C is the circumference and r is the radius. Alternatively, if you know the diameter, you can use the formula C = πd, where d is the diameter. Remember to use π (approximately 3.14) for your calculations.
| 3. What is the formula for the area of a circle, and how is it derived? | |
Ans. The area of a circle is calculated using the formula A = πr², where A is the area and r is the radius. This formula is derived from the concept of dividing the circle into many small triangles and summing their areas, leading to the realization that the area is proportional to the square of the radius.
| 4. How can I find the radius of a circle if I only have the circumference? | |
Ans. To find the radius when you know the circumference, you can rearrange the circumference formula. Since C = 2πr, you can solve for r by using the formula r = C / (2π). This allows you to calculate the radius directly from the circumference.
| 5. What are the differences between a circle and a sphere? | |
Ans. A circle is a two-dimensional shape defined by a set of points equidistant from a center point, while a sphere is a three-dimensional object defined by all points equidistant from a center point in three-dimensional space. In simpler terms, a circle is flat and exists in a plane, whereas a sphere is round and occupies volume.
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