High School

We appreciate your visit to A string with endpoints E and R is to be wrapped around the circumference of circle D as indicated by the dashed arcs What must. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A string with endpoints E and R is to be wrapped around the circumference of circle D, as indicated by the dashed arcs. What must be the length of the string on segment ER so that endpoint E is wrapped onto point Q?

Answer :

In order to determine the length of the string on segment ER so that E’ is wrapped onto point Q, we must first consider the properties of circles and their associated angles and arc lengths. Let’s take a look at what we know: Circumference of a circle: C = 2πr

= θrWe also know that the string is wrapping around the circumference of circle D, so we can use the circumference formula to find the length of the string required. However, we need to find the radius of circle D first. To do this, we can use the Pythagorean theorem since we know the length of segments EQ and QD, as shown below:EQ2 + QD2

= ED2 (by the Pythagorean theorem)EQ2 + QD2 = 102 + 82

= 164EQ

= √164

= 4√41 (approx.)Since EQ is a radius of circle D, we can now find the circumference of circle D:C

= 2πr

= 2π(4√41) ≈ 25.24The string is wrapping around the circle from endpoint E to endpoint R, but we only need the length of the string on segment ER. To find this length, we need to subtract the arc lengths of segments EQ and QR from the circumference of circle

To know more about Pythagorean visit:

https://brainly.com/question/28032950?referrer=searchResults

#SPJ11

Thanks for taking the time to read A string with endpoints E and R is to be wrapped around the circumference of circle D as indicated by the dashed arcs What must. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada