Introduction
Are you struggling with your unit 10 circles homework? Look no further, as we have compiled the answer key for homework 2 in this article. In this tutorial, we will break down each question and provide detailed explanations to help you understand the concepts better.
Question 1
The first question asks you to find the circumference of a circle with a radius of 5cm. To solve this, you can use the formula C = 2πr, where C is the circumference, r is the radius, and π is a constant value of approximately 3.14. Plugging in the values, we get C = 2 x 3.14 x 5 = 31.4 cm.
Question 2
Question 2 requires you to find the area of a sector with a central angle of 60 degrees and a radius of 8cm. The formula for the area of a sector is A = (θ/360) x πr², where θ is the central angle in degrees. Plugging in the values, we get A = (60/360) x 3.14 x 8² = 33.51 cm².
Question 3
In question 3, you need to find the length of an arc that subtends an angle of 45 degrees in a circle with a radius of 10cm. The formula for the length of an arc is L = (θ/360) x 2πr, where θ is the central angle in degrees. Plugging in the values, we get L = (45/360) x 2 x 3.14 x 10 = 7.85 cm.
Question 4
Question 4 asks you to find the length of a chord that is 6cm away from the center of a circle with a radius of 10cm. To solve this, you can use the formula L = 2 x √(r² - d²), where d is the distance from the center of the circle to the chord. Plugging in the values, we get L = 2 x √(10² - 6²) = 12 cm.
Question 5
The final question requires you to find the length of the segment formed by a chord that is 12cm long and is 4cm away from the center of a circle. To solve this, you can use the formula L = √(r² - d²), where d is half the length of the chord. Plugging in the values, we get L = √(10² - 2²) = 9.8 cm.
Conclusion
By following these step-by-step solutions, you should now have a better understanding of how to solve unit 10 circles homework questions. Remember to always double-check your answers and show your work to receive full credit. As you continue to practice, you will become more comfortable with these concepts and improve your overall math skills.
Comment