Toppers Study Toppers Study Toppers StudyDetailed NCERT Solutions for 10 Mathematics 12. Areas Related to Circles to simplify learning. Understand chapters clearly and practice with free solutions for better results.
Detailed NCERT Solutions for 10 Mathematics 12. Areas Related to Circles to simplify learning. Understand chapters clearly and practice with free solutions for better results.
Preparing for exams becomes easier with Exercise 12.1. Whether you are studying for board exams or mid-term exams, 10 Mathematics Chapter 12. Areas Related to Circles solutions provide quick revising points, well-structured answers, and additional practice material to help you score better.
ncert_solutionsQ.1 The radii of two circles are 19 cm and 9 cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles.
Solution:
Let the radius of acquired circle = R
And radius of Large circle r1 = 19 cm
Radius of small circle r2 = 9 cm
Then,
2πR = 2πr1 + 2πr2
2πR = 2π (r1 + r2)
R = (r1 + r2)
= 19 + 9
= 28 cm
Q2. The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles.
Solution:
Let the radius of acquired circle = R
And radius of Large circle r1 = 8 cm
Radius of small circle r2 = 6 cm
Then,
πR2 = πr12 + πr22
πR2 = π (r12 + r22)
R2 = (r12 + r22)
= 82 + 62
= 64 + 36 cm
= 100 cm
R = √100 = 10 cm
Q3. Depicts an archery target marked with its five scoring areas from the centre outwards as Gold, Red, Blue, Black and White. The diameter of the region representing Gold score is 21 cm and each of the other bands is 10.5 cm wide. Find the area of each of the five scoring regions.
Q4. The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour?
Solution:
Q5. If the perimeter and the area of a circle are numerically equal, then find the radius of the circle.
Solution:
2πr = πr2
2r = r2
2r = r × r
r = 2 unit
Exercise 12.1 are created by experts to give step-by-step explanations. Around 60–70% of exam questions are based on NCERT concepts. Our 10 Mathematics Chapter 12. Areas Related to Circles solutions help you understand the core concepts and practice effectively.
Revision is the key to exam success. Our notes for 10 Mathematics highlight important formulas, key definitions, and exam-ready points from Chapter 12. Areas Related to Circles. These quick revision notes make last-minute preparation easy.
Every NCERT chapter ends with exercises, and solving them is crucial. Our Exercise 12.1 include complete solutions for 10 Mathematics Chapter 12. Areas Related to Circles exercises. With step-by-step answers, you gain clarity and confidence to attempt similar exam questions.
To boost your preparation, we also provide additional important questions with answers. These are prepared from previous year board papers, sample papers, and important concepts of Chapter 12. Areas Related to Circles. Practicing these ensures you are well-prepared for both board and mid-term exams.
Our Exercise 12.1 are useful for both board exams and mid-term exams. For 10 Mathematics, we provide notes, exercises, and important Q&A so that you can revise smartly and write perfect answers in exams.
In short, Exercise 12.1 for 10 Mathematics Chapter 12. Areas Related to Circles are a complete study package. With quick revising points, NCERT exercises, and additional important questions, you can prepare effectively for exams. Make these solutions your study companion and excel in your academic journey.
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