# Unit 10 Circles Answer Key Homework 2

## 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.