the figure above shows the top side of a circular medallion made of circular piece of colored glas sorrounded by a metal frame, represented by the shaded region. If the radius of the medallion is r centimeters and the width of the metal frame is s centimeter , then in terms of s and r , what is the area of the metal frame in square centimeters?
BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course
Redeem
Featured Course
Target Test Prep GMAT OnDemand
Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.
- 715+ score guarantee — highest in the industry (99th percentile)
- 52 chapters · 1,500+ lessons · 4,000+ practice questions
- 400 hours of video · 1,500+ instructor-led HD smartboard lessons
- 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
- 24/7 live support + weekly Zoom office hours with GMAT instructors
- TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
- 1,200+ flashcards + AI-powered study assistant & daily calendar
- OnDemand, LiveTeach & GMAT Bootcamp formats available
- Also: GRE, SAT Math & Executive Assessment courses
- MBA Admissions Consulting now available
- 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
- 200,000+ students served
- 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★
5.0
(559 reviews)
130-pt guarantee
$0 to start
then $127/mo
gmat prep question
Source: Beat The GMAT — Problem Solving |
Since the figure is not there...I am pre-supposing that the radius of the medallion (minus the frame) is r
Area of medallion = pie*r^2
Area of medallion + frame = pie*(r+s)^2
So area of frame alone = pie*(r+s)^2 - pie*r^2
= pie*s^2 - 2*pie*r*s
Area of medallion = pie*r^2
Area of medallion + frame = pie*(r+s)^2
So area of frame alone = pie*(r+s)^2 - pie*r^2
= pie*s^2 - 2*pie*r*s
