Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

If the radius increases by 10% then what will be the percent of increase in area?
Asked by rg_parmar | 07 Dec, 2014, 05:59: PM
answered-by-expert Expert Answer
L e t space t h e space r a d i u s space o f space t h e space c i r c l e space b e space r L e t space t h e space i n c r e a s e d space r a d i u s space b e space R G i v e n space t h a t space R over r equals fraction numerator 100 plus 10 over denominator 100 end fraction equals 110 over 100 equals 1.1 L e t space A subscript 1 space b e space t h e space a r e a space o f space t h e space c i r c l e space w i t h space r a d i u s space R T h u s comma space space A subscript 1 equals πR squared straight L straight e straight t space straight A subscript 2 space straight b straight e space straight t straight h straight e space straight a straight r straight e straight a space straight o straight f space straight t straight h straight e space straight c straight i straight r straight c straight l straight e space straight w straight i straight t straight h space straight r straight a straight d straight i straight u straight s space straight r straight T straight h straight u straight s comma space space straight A subscript 2 equals πr squared Now space consider space straight A subscript 1 over straight A subscript 2 equals πR squared over πr squared equals straight R squared over straight r squared equals open parentheses straight R over straight r close parentheses squared equals open parentheses 1.1 close parentheses squared over 1 equals 1.21 Thus comma space straight a space 10 % space increase space in space radius space is space equivalent space to space 21 % space increase space in space Area.
Answered by Vimala Ramamurthy | 08 Dec, 2014, 11:52: AM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 10 - Maths
PQ is a chord of length 8 cm to a circle of radius 5 cm. The tangents P and Q intersect at a point T. Find the length of the tangent TP.
Asked by yalagondanikhil | 16 Apr, 2024, 12:25: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
From a point P, two tangents PA and PB are drawn to a circle C(0, r).  If OP = 2r, then find ∠𝐴𝑃𝐵. What type of triangle is APB?  
Asked by riazu945 | 16 Jan, 2022, 01:00: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Q30
question image
Asked by sangyaswarupa | 16 Mar, 2021, 10:06: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
point A lies in the exterior of a circle with center P and radius 8 cm A tangent from A touches the circle at if AB=15 cm find PA
Asked by sinhkaran79 | 14 Mar, 2021, 12:59: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Question no.4 from the chapter Circles.
question image
Asked by s.saumya1011 | 05 Nov, 2020, 02:10: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
plz solve these
question image
Asked by brjkishorchauhan03 | 04 Nov, 2020, 12:10: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
question
question image
Asked by arindeep.singh | 02 Oct, 2020, 01:20: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
prove that a diameter AB of a circle bisects all those chords which are the tangent at the point A
Asked by shivappahb308 | 21 Sep, 2020, 02:15: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
question no 51
question image
Asked by vs4247325 | 04 Sep, 2020, 04:56: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Two circles touches internally at a point P and from a point T ,the common tangent at P , tangent segments TQ and TR are drawn to the two circle Prove that TQ=TR
Asked by VasupradUboveja376 | 22 Jun, 2020, 12:03: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×