Here you get the CBSE Class 10 Mathematics chapter 11, Areas Related to Circles: NCERT Exemplar Problems and Solutions (Part-IVA). This part of the chapter is in continuation with Part-IVA for same chapter that included solutions to first 8 questions from Exercise 11.4 of NCERT Exemplar Problems for Class 10 Mathematics Chapter: Areas Related to Circles. Here you will get solutions to remaining questions i.e., from Q. No. 1-7. Each solution is designed in an easy manner to make you understand the concept, easily.
CBSE Class 10 Mathematics Syllabus 2017-2018
NCERT Exemplar problems are a very good resource for preparing the critical questions like Higher Order Thinking Skill (HOTS) questions. All these questions are very important to prepare for CBSE Class 10 Mathematics Board Examination 2017-2018 as well as other competitive exams.
Find below the NCERT Exemplar problems and their solutions for Class 10 Mathematics Chapter, Areas Related to Circles:
Exercise 11.4
Long Answer Type Questions (Q. No. 1-7)
Question. 1 The area of a circular playground is 22176 m2. Find the cost of fencing this ground at the rate of Rs 50 per m.
Solution.
Given, area of a circular playground = 22176m2
Question. 2 The diameters of front and rear wheels of a tractor are 80cm and 200cm, respectively. Find the number of revolutions that rear wheel will make in covering a distance in which the front wheel makes 1400 revolutions.
Solution.
Question. 3 Sides of a triangular field are 15m, 16m and 17m. With the three corners of the field a cow, a buffalo and a horse are tied separately with ropes of length 7m each to graze in the field. Find the area of the field which
cannot be grazed by the three animals.
Solution.
Here, the area grazed by each animal at three corners of triangular field is in the form of a sector of a circle with radius 7m.
Question. 4 Find the area of the segment of a circle of radius 12cm whose corresponding sector has a centrel angle of 60°. (user π = 3.14)
Solution.
Given, a circle with radius 12 cm and a segment AB with its corresponding sector subtending a centrel angle of 60°.
Question. 5 A circular pond is 17.5m is of diameter. It is surrounded by a 2m wide path. Find the cost of constructing the path at the rate of Rs 25 per m2?
Solution.
Given, a circular pond of 17.5 m diameter is surrounded with a 2m wide path.
Question. 6 In following figure, ABCD is a trapezium with AB || DC. AB = 18cm, DC = 32cm and distance between AB and DC = 14cm. If arcs of equal radii 7 cm with centres A, B, C and D have been drawn, then find the area of the shaded region of the figure.
Question. 7 Three circles each of radius 3.5cm are drawn in such a way that each of them touches the other two. Find the area enclosed between these-circles.
Solution.
Given condition can be represented in the form of diagram as given below:
Thus, area of shaded region enclosed between three circles = Area of ΔABC - Total area of three sectors
= 21.217 - 19.25= 1.967cm2
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