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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

Vineet Loomba
💥IITian | Top Educator 💥All Maths Chapters Complete & FREE 💥10+ Years Experience 💥Youtube: Maths Wallah 💥DPPs @ vineetloomba.com

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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?
Vineet Loomba
4 months ago
Pls see my explanation of ques and ans carefully
Ayush Nashine
4 months ago
Okay Sir...
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 !
Vineet Loomba
10 months ago
Add them d will get cancelled
Ex no. 4 options are wrong
Vineet Loomba
8 months ago
Why di think so ..answer is exactly match option c
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

2. 100% SUCCESS IN JEE MAIN AND ADVANCED (IIT-JEE) 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!!

3. TRIGONOMETRY IIT-JEE SYSTEMS OF MEASUREMENT IIT-JEE MATHS MADE EASY PREPARED BY: ER. VINEET LOOMBA IITiAN | IIT-JEE MENTOR FoR SURE SHoT SUcCESS IN JEE MAIN AND ADVANCED (IIT-JEE)

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 !!