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System of Mesurements Part-2
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This lesson concludes the discussion on measurement of angles with solved examples for JEE Main and Advanced

## Vineet Loomba is teaching live on Unacademy Plus

U
Sa
thank you so much ma'am
Sir Ex 4 options are wrong? Question asked for smallest angle in degrees which is 45 and greatest angle in radians.. Which is not there In options?
Sir 1st lecture mee too aap bole thee ki 360=2pi. And aap iss lecture ke 2 nd question me bolte h 360 =2pi*r. Kya sahi h sir??
Rajkumar Udit
7 months ago
Sir aap 2nd question iss lecture ka explain sahi kiye h pr likha galat h formula wo 360 =2pi hin hoga.
sir angles of quadrilateral are 4 angles you have taken a-3d, a-d, a+d and a+3d, means we have 4 angle. then the sum of all these angels will be 360 ----> (a-3d)+(a-d)+(a+d)+(a+3d)=360, then how have you put only 4a = 360,here is a little bit confusion plz make me understand sir. thank you !
sir a-3d , a-d , a+d , a+3d kaise says ?
9 months ago
kaise aaye
1. IIT-JEE VIDEO COURSE FOR SURE SHOT SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) IIT-JEE MATHS MADE EASY PREPARED BY: ER. VINEET LOOMBA IITian | IIT-JEE MENtOR Search vineet loomba unacademy" on GOOGLE

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4. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) EX: 3 3 Find in degrees the angle subtened at the centre of a circle of diameter 50 cm by an arc of length 11 cm IL 9-L l1 25 25 11 180 2 MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKEE)

5. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) In a circle of diameter 30 cm, the Lngh.of a chord is 15 m. Find the length of the minor arc of the circle 68 2THe x 60 360 6 6 The minute hand of a watch is 1.4cm long. How far does its tip move in 45 minutes? MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKEE)

6. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) The minute hand of a watch is 1.4cm long. How far does its tip move in 45 minutes? (-40 270 31- 2. 6.6 Cm MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKEE)

7. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE Example: If the angles of a triangle are in the ratio 3 4: 5, find he smallest angle in degrees and the greatest angle in radians (A) 5001T 70 12 (B) (C) 750, (D) 850 , 12 12 12 SOLUTION (C) Let the three angles be 3x, 4x and 5x degrees In triangle, and the greatest angle -5x degree 3x + 4x + 5x = 180 12x = 180 The smallest angle-3x degrees = 5 15 degree = 750 = | 75x -- radians 180 _ _ radians 12 = 3 15 degree-450 MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKee)

8. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE Example The angles of a quadrilateral are in A.P. and the greatest angle is 120 , the angles in radians are (c) 18'18 18 18 -,--.-en (d) None of these 3 9 9 3 3 2 3 3 Solution: (a) Let the angles in degrees be -35, -5, + , + 3 sum of the angles 4 -360 Also greatest angle + 36-120 , Hence, 3 -120 - = 120 -90 -30 Hence the angles are 90 -309,90 -109,90 10 and 9030 That is, the angles in degrees are 60 ,80 ,100 and 120 90 = 10 2 In terms of radians the angles are 60% , 80 x- 180 -.100 x- 180 and 120 x-that is _ and , 180 180 MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKee)

9. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) Important lips The angle between two consecutive digits in a clock is 309(= Tt/6 radians). The hour hand rotates through an angle of 30 in one hour. The minute hand rotate through an angle of 60 in one minute. MATHEMATICS FOR IIT-JEE ER. VINEET LOOMBA (IIT RooRKEE)

10. REVISION COURSE FOR JEE MAIN AND ADVANCED (IIT-IEE ABOUT ME B.Tech. From IIT Roorkee IIT-JEE Mentor Since 2010. Doubts/Feedback in Comment Section * Comment other topics you want to revise. Follow me @ https://unacademy.com/user/vineetloomba to get updates. Share among your peers as SHARING is CARING !!