Two secants intersect outside a circle such that the distances from the point of intersection to the circle are 3 and 4, respectively. The secant with a distance of 3 passes through the center of the circle. The secant with a distance of 4 intersects a chord inside the circle and divide the chord into two segments with lengths of 6 and 2. The chord resulting from the secant is bisected by the other chord. What is the diameter of the circle? (Round to the nearest tenth)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
icon
Related questions
Question

Two secants intersect outside a circle such that the distances from the point of intersection to the circle are 3 and 4, respectively. The secant with a distance of 3 passes through the center of the circle. The secant with a distance of 4 intersects a chord inside the circle and divide the chord into two segments with lengths of 6 and 2. The chord resulting from the secant is bisected by the other chord. What is the diameter of the circle? (Round to the nearest tenth)

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Area of a Circle
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning