agra,ahmedabad,ajmer,akola,aligarh,ambala,amravati,amritsar,aurangabad,ayodhya,bangalore,bareilly,bathinda,bhagalpur,bhilai,bhiwani,bhopal,bhubaneswar,bikaner,bilaspur,bokaro,chandigarh,chennai,coimbatore,cuttack,dehradun,delhi ncr,dhanbad,dibrugarh,durgapur,faridabad,ferozpur,gandhinagar,gaya,ghaziabad,goa,gorakhpur,greater noida,gurugram,guwahati,gwalior,haldwani,haridwar,hisar,hyderabad,indore,jabalpur,jaipur,jalandhar,jammu,jamshedpur,jhansi,jodhpur,jorhat,kaithal,kanpur,karimnagar,karnal,kashipur,khammam,kharagpur,kochi,kolhapur,kolkata,kota,kottayam,kozhikode,kurnool,kurukshetra,latur,lucknow,ludhiana,madurai,mangaluru,mathura,meerut,moradabad,mumbai,muzaffarpur,mysore,nagpur,nanded,narnaul,nashik,nellore,noida,palwal,panchkula,panipat,pathankot,patiala,patna,prayagraj,puducherry,pune,raipur,rajahmundry,ranchi,rewa,rewari,rohtak,rudrapur,saharanpur,salem,secunderabad,silchar,siliguri,sirsa,solapur,sri-ganganagar,srinagar,surat,thrissur,tinsukia,tiruchirapalli,tirupati,trivandrum,udaipur,udhampur,ujjain,vadodara,vapi,varanasi,vellore,vijayawada,visakhapatnam,warangal,yamuna-nagar

RD Sharma Solutions for Class 9 Maths Chapter 16: Circles

RD Sharma class 9 maths chapter 9 comprises the various concepts of circles in a detailed manner. The circle is a round-shaped figure whose all points lie on the same plane and at an equal distance from a common point. This common point is called the centre of the circle. The line joining the centre to the circumference is called the Radius of the Circle. If the line starts from one point of the circumference, passes through the centre of the circle and ends at another point of the circumference, it is called the diameter. Basically Diameter = 2 x Radius. A Chord is a line between 2 points on the circular arc (circumference) without touching the centre of the circle. A circular wedge or a pie (in simple language) from the circle is called Sector. A line perpendicular to the radius that touches ONLY one point on the circumference is called "Tangent of the circle."

The circle area can be calculated by the formula

Area of a circle = πr2

where 'r' is the radius of the circle. And the value of 'π' is said to be 3.14159 (we'll take 3.14 for the sake of simplicity).

Also, the formula can be rewritten in terms of the diameter,

f1_1 

where 'd'' is the circle's diameter.

We can determine the circumference of the circles by the formula Circumference of a circle = 2πr or πd where ''r'' and ''d' are the radius and the diameter of the circle, respectively.

The chapter revolves around the various concepts of a circle, and the students get to learn about the concentric circle, the angle of an arc, the congruence of a circle and the arcs or sector. Ther students may need to determine the length of some random chord in the circle. In some of the problems here, the students have to know about Pythagoras's Theorem too.

 

Download PDF For FREE

 

Key features of Aakash Institute RD Sharma solutions for class 9th Maths Chapter 16: Circles

  • Aakash institute's faculty members provide the solutions to the problems so that tough problems also seem easy and helpful for class 9th maths exams, which is a must for class 9 mathematics.
  • The solutions are very helpful for the students, and they help the students learn the chapters very effectively.
  • The experts of the Aakash institute have developed the solutions so that the tough questions also seem easy to solve and learning is also fun.
Talk to our expert
Resend OTP Timer =
By submitting up, I agree to receive all the Whatsapp communication on my registered number and Aakash terms and conditions and privacy policy