Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
The big arc is 2.09 centimeters longer than the small arc.
How much longer is the big arc than the small arc?
For a circle of radius R, if we define an arc with an angle θ, the length of that arc will be:
L = (θ/360°)*2πR
Where π = 3.14
in this case, for both arcs, we have θ = 120°.
For the smaller arc, the radius is R = 5cm, so we get:
L = (120°/360°)*2*3.14*5cm = 10.47 cm
For the larger arc, the radius is R = 5cm, so we get:
L' = (120°/360°)*2*3.14*6cm = 12.56 cm
Then we can see that:
L' - L = 12.56 cm - 10.47 cm = 2.09 cm
So the largest arc is 2.09 centimeters longer than the smaller arc.
If you want to learn more about arcs:
https://brainly.com/question/2005046
#SPJ1
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.