CBSE Class 10 Mathematics Area Related To Circles VBQs read and download in pdf. Value Based Questions come in exams for Mathematics in Class 10 and are easy to learn and helpful in scoring good marks. You can refer to more chapter wise VBQs for Class 10 Mathematics and also get latest topic wise very useful study material as per latest NCERT book for Class 10 Mathematics and all other subjects for free on Studiestoday designed as per latest Class 10 CBSE, NCERT and KVS syllabus and examination pattern
VBQ for Class 10 Mathematics Chapter 12 Areas Related to Circles
Class 10 Mathematics students should refer to the following value based questions with answers for Chapter 12 Areas Related to Circles in Class 10. These VBQ questions with answers for Class 10 Mathematics will come in exams and help you to score good marks
Chapter 12 Areas Related to Circles VBQ Questions Class 10 Mathematics with Answers
Very Short Answer type Questions
Question. An arc of a circle is of length 5π cm and the sector it bounds has an area of 20π cm2. Find the radius of the circle.
Answer : r = 8 cm
Question. Calculate the perimeter of an equilateral triangle, if it is inscribed in a circle with area 154 cm2.
Answer : 423cm
Question. A chord of circle of radius 10cm subtends a right angle at the centre. Find the area of the minor segment.
Answer : 285.5
Question. The perimeter of a sector of a circle of radius 5.2cm is 16.4cm. Find the area of the sector.
Answer : 15.6 sq.cm
Question. Two circles touch externally. The sum of their areas is 130π cm2. Distance between their centres is 14 cm, Find radius of each circle.
Answer : 11cm and 3 cm
Question. If the perimeter of a sector of a circle of radius 6.5cm is 29cm, find its area.
Answer : 52 sq.cm
Question. Find the area of the segment of a circle of radius 15 cm, when the angle of the corresponding sector is 1200.
Answer : 75π− 225/4 √3 𝑐𝑚
Question. Find the diameter of the circle whose area is equal to the sum of the areas of two circles of diameters 20cm and 48cm.
Answer : d = 52 cm
Question. All the vertices of a rhombus lie on a circle. Find the area of the rhombus, if area of the circle is 1256 cm2.
Answer : 800 sq.cm
Question. Find the area of the minor segment of a circle of radius 42 cm, if length of the corresponding arc is 44 cm.
Answer : 160 sq.cm approx.
Question. The inner circumference of a circular track is 220m.The track is 7m wide everywhere.
Calculate the cost of putting up a fence along the outer circle at the rate of Rs.2 per metre.
Answer : Rs.528
Question. In a circle of radius 21 cm, an arc subtends an angle of 60˚at the centre. Find the area of sector formed by the arc.
Answer : 231 sq.cm
Question. Two circles touch externally. The sum of their areas is 130πsq.cm and the distance between the centres is 14 cm. Find the radii of the circles.
Answer : 11cm,3 cm
Value Based Questions for the chapter “Areas related to Circles”.
Question. Ramu has a lawn in one corner of his house in the shape shown in the figure (shaded area). The corner of the house is the center of the sector. He has installed a sprinkler system to water his lawn, with the sprinkler head located at the center, instead of using a hose pipe. The central angle of the sector is 216⁰ and the inner and outer radii are 2m and 5m respectively.
CONTEXTUAL QUESTION:
i. Find the area of the lawn to be watered.
VALUE BASED QUESTION:
ii. Comment about the method selected by Ramu to water his lawn.
Answer : (Key points)
* Water conservation
* Water as a precious resource
Question. The base of a mountain is circular. Unauthorized mountain quarrying took place at the base and a sectored part of the mountain from the base to a height was removed.
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VBQs for Chapter 12 Areas Related to Circles Class 10 Mathematics
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