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#➗10th గణితం #🏆పోటీ పరీక్షల స్పెషల్ #👩‍💻టెట్/DSC ప్రత్యేకం
➗10th గణితం - Solution : Q : Construct the Tangents to a Circle from a Point Outside the Circle -Solution : 1 Draw a circle with centre O. Both give nearly same value . 2 Mark a point P outside the circle . M M 00 R P. 3 Draw a circle taking MO as radius . R A = πr² = = π ( 7 ) ² = 22x7x EX7X7 = 154 cm² P M & 90 ° 5 PQ & PR are the required tangents . MATH Solutions Π PHANI - ShareChat
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➗10th గణితం - Chapter १२: AREAS RELATED TO CIRCLES Important Exam Points Important Exam Points 227 3.14 Use T= on Area A= r२ Both give nearly same value C=Zrr Circumfrence Write formula first in exams Draw proper diagram Steps to Solve bigger figure 1 Find area of A= Ttr? = Tt (72 22 X7*77 figure Find area of smaller 2 according to the question 154 Subtract or add 3. cm? ' Example: Square Shaded Area = Area of Area of Circle MATH Solons 1 PHANI Chapter १२: AREAS RELATED TO CIRCLES Important Exam Points Important Exam Points 227 3.14 Use T= on Area A= r२ Both give nearly same value C=Zrr Circumfrence Write formula first in exams Draw proper diagram Steps to Solve bigger figure 1 Find area of A= Ttr? = Tt (72 22 X7*77 figure Find area of smaller 2 according to the question 154 Subtract or add 3. cm? ' Example: Square Shaded Area = Area of Area of Circle MATH Solons 1 PHANI - ShareChat
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➗10th గణితం - Chapter 12: AREAS RELATED 70 CIRCLES Prt 1: Introductiow to Circles Centre Radius (r Diameter (d) Chord What is a Circle? A circle is a set of all plane that are at a fixed distance points in 0 from a fixed point. Important Terms 1 Centre (0): Fixed point of the circle २. Radius Distance from centre to any 0n the circle point ३. Diameter (d): A line passing through the centre, connecting two 0f the circle . points d = 2r Chord 0f the circle. A line joining any two points Segment Sector Arc Part रof the Circumference Region Region between Two Rodii between A Chord & an Arc & an Arc Arc MATH Solutions By PHANI Chapter 12: AREAS RELATED 70 CIRCLES Prt 1: Introductiow to Circles Centre Radius (r Diameter (d) Chord What is a Circle? A circle is a set of all plane that are at a fixed distance points in 0 from a fixed point. Important Terms 1 Centre (0): Fixed point of the circle २. Radius Distance from centre to any 0n the circle point ३. Diameter (d): A line passing through the centre, connecting two 0f the circle . points d = 2r Chord 0f the circle. A line joining any two points Segment Sector Arc Part रof the Circumference Region Region between Two Rodii between A Chord & an Arc & an Arc Arc MATH Solutions By PHANI - ShareChat
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➗10th గణితం - Chapter 12 : AREAS RELATED TO CIRCLES Part 6 : Areas of Combination of Figures r Find area of yellow shaded region e Side = 2r 2 Circle inside Two Semicircles Square 4 Quarter Circles Steps to Solve 1. Find area of bigger figure 2. Find area of smaller figure 3 Subtract or add according to the question Example : Shaded Area = Area of Square - Area of Circle MATH / Solutions By PHANI - ShareChat
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➗10th గణితం - Chapter 12: AREAS RELATED T CIRCLES Segment रof a Circle Part 5: Area of a Area of Segment 3 Area Area of Triangle of Sector B Chord Segment रof a Circle Region between A Chord & an Arc Steps 1 Find area of sector 2. Find area of triangle Subtract both values 3 Area of Segment Area of Sector Area of Triangle MATH Solutions 1 PHANL Chapter 12: AREAS RELATED T CIRCLES Segment रof a Circle Part 5: Area of a Area of Segment 3 Area Area of Triangle of Sector B Chord Segment रof a Circle Region between A Chord & an Arc Steps 1 Find area of sector 2. Find area of triangle Subtract both values 3 Area of Segment Area of Sector Area of Triangle MATH Solutions 1 PHANL - ShareChat
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➗10th గణితం - Chapter 12: AREAS RELATED TO CIRCLES Part 3:Area of a Sector of a Circle 0.1r2 Area of Sector 3 360` B 0= Central angle Area of Sector 0 Tr2 {ೆಕ 360' 1 Radius 3 1| | | | MATH / Solutions By PHANI Chapter 12: AREAS RELATED TO CIRCLES Part 3:Area of a Sector of a Circle 0.1r2 Area of Sector 3 360` B 0= Central angle Area of Sector 0 Tr2 {ೆಕ 360' 1 Radius 3 1| | | | MATH / Solutions By PHANI - ShareChat
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➗10th గణితం - Chapter 12: AREAS RELATED TO CIRCLES Part 4: Length of an Arc] ೦> 2Tr Arc Length = 3609 8 O= Central angle Arc Length 0 3 X 2Tr 3609 0= Central angle T = Radius MATH / Solutions By PHANI Chapter 12: AREAS RELATED TO CIRCLES Part 4: Length of an Arc] ೦> 2Tr Arc Length = 3609 8 O= Central angle Arc Length 0 3 X 2Tr 3609 0= Central angle T = Radius MATH / Solutions By PHANI - ShareChat
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➗10th గణితం - Chapter 12: AREAS RELATED TO CIRCLES Part 2: Area and Circumference of a Circle Circumference of a Circle Circumference (C) ZTr Where; r = radius 27 1~ 3.14 or B C=2r (7) = 2* 22 *7= 44cm If r = 7cm, then Area of a Circle Area (A) Tr2 3 Where; = radius of circle B A = 7t(7)2 Ifr = 7cm, then 22 *7*77 154 cm2 F MATH Solutions 1 PHANL Chapter 12: AREAS RELATED TO CIRCLES Part 2: Area and Circumference of a Circle Circumference of a Circle Circumference (C) ZTr Where; r = radius 27 1~ 3.14 or B C=2r (7) = 2* 22 *7= 44cm If r = 7cm, then Area of a Circle Area (A) Tr2 3 Where; = radius of circle B A = 7t(7)2 Ifr = 7cm, then 22 *7*77 154 cm2 F MATH Solutions 1 PHANL - ShareChat
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