Maharashtra Board Solutions Class 7-Maths (Practice Set 43): Chapter 11- Circle
Maharashtra Board Solutions Class 7-Maths (Practice Set 43): Chapter 11- Circle

Class 7: Maths Chapter 11 solutions. Complete Class 7 Maths Chapter 11 Notes.

Maharashtra Board Solutions Class 7-Maths (Practice Set 42): Chapter 11- Circle

Maharashtra Board 7th Maths Chapter 11, Class 7 Maths Chapter 11 solutions

Question 1.
Complete the table below:

Sr. NoRadius (r)Diameter (d)Circumference (c)
i.7 cm
ii.28 cm
iii.616 cm
iv.72.6 cm

Solution:
i. Radius (r) = 7 cm
Diameter (d) = 2r
= 2 x 7 = 14 cm
Circumference (c) = πd
= 227 x 14
= 44 cm

ii. Diameter (d) = 28 cm
Radius (r) = d2=282 = 14 cm
Circumference (c) = πd
= 227 x 28
= 88 cm

iii. Circumference (c) = 616 cm
∴ πd = 616
∴ 227 x d = 616
∴ d = 616 x 722
∴ d = 196 cm
∴ Diameter (d) = 196 cm
Radius (r) = d2=1962 = 98 cm

iv. Circumference (c) = 72.6 cm
∴ πd = 72.6
227 x d = 72.6
∴ d=72.6×722=72610×722=33×710
∴ d = 23.1 cm
∴ Diameter (d) = 23.1 cm
Radius (r) = d2=23.12
= 11.55 cm

Sr. NoRadius (r)Diameter (d)Circumference (c)
i.7 cm14 cm44 cm
ii.14 cm28 cm88 cm
iii.98 cm196 cm616 cm
iv.11.55 cm23.1 cm72.6 cm

Question 2.
If the circumference of a circle is 176 cm, find its radius.
Solution:
Circumference (c) = 176 cm
∴ 2πr = 176
∴ 2 x 227 x r = 176
∴ 447 x r = 176
∴ r = 176 x 744 = 28 cm
∴ The radius of the circle is 28 cm.

Question 3.
The radius of a circular garden is 56 m. What would it cost to put a 4-round fence around this garden at a rate of 40 rupees per metre?
Solution:
Radius of the circular garden (r) = 56 m
∴ Circumference of the circular garden (c) = 2πr
= 2 x 227 x 56
= 352 m
∴ Length of the wire required to put 1-round fence = Circumference
∴ Length of wire required to put a 4-round fence = 4 x Circumference
= 4 x 352
= 1408 m
∴ Cost of wire per meter = Rs 40
∴ Total cost = length of wire required x cost of the wire
= 1408 x 40
= Rs 56320
∴ The cost to put a 4-round fence around the garden is Rs 56320.

Question 4.
The wheel of a bullock cart has a diameter of 1.4 m. How many rotations will the wheel complete as the cart travels 1.1 km?
Solution:
Diameter of the wheel of the bullock cart (d) = 1.4 m
Circumference of the wheel of the bullock cart (c) = πd
=227×1.4=227×1410=4410=4.4m
Distance covered in 1 rotation = Circumference of the wheel
= 4.4 m
Maharashtra Board Class 7 Maths Solutions Chapter 11 Circle Practice Set 42 1
∴ The wheel of the bullock cart will complete 250 rotations as the cart travels 1.1 km.

Intext Questions and Activities

Question 1.
Identify the radii, chords and diameters in the circle alongside and write their names in the table below: (Textbook pg. no. 75)

i. Radii
ii. Chords
iii. Diameters

Maharashtra Board Class 7 Maths Solutions Chapter 11 Circle Practice Set 42 2
Solution:
i. OA, OB, OC, OF
ii. EC, AD, AB, FC
iii. AB, FC

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Maharashtra Board Solutions Class 7-Maths (Practice Set 42): Chapter 11- Circle

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FAQs

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You can download the Maharashtra State Board Books from the eBalbharti official website, i.e. cart.ebalbharati.in or from this article.

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Students can get the Maharashtra Books for primary, secondary, and senior secondary classes from here.  You can view or download the Maharashtra State Board Books from this page or from the official website for free of cost. Students can follow the detailed steps below to visit the official website and download the e-books for all subjects or a specific subject in different mediums.
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The Maharashtra State Board of Secondary & Higher Secondary Education, conducts the HSC and SSC Examinations in the state of Maharashtra through its nine Divisional Boards located at Pune, Mumbai, Aurangabad, Nasik, Kolhapur, Amravati, Latur, Nagpur and Ratnagiri.

About Maharashtra State Board (MSBSHSE)

The Maharashtra State Board of Secondary and Higher Secondary Education or MSBSHSE (Marathi: महाराष्ट्र राज्य माध्यमिक आणि उच्च माध्यमिक शिक्षण मंडळ), is an autonomous and statutory body established in 1965. The board was amended in the year 1977 under the provisions of the Maharashtra Act No. 41 of 1965.

The Maharashtra State Board of Secondary & Higher Secondary Education (MSBSHSE), Pune is an independent body of the Maharashtra Government. There are more than 1.4 million students that appear in the examination every year. The Maha State Board conducts the board examination twice a year. This board conducts the examination for SSC and HSC. 

The Maharashtra government established the Maharashtra State Bureau of Textbook Production and Curriculum Research, also commonly referred to as Ebalbharati, in 1967 to take up the responsibility of providing quality textbooks to students from all classes studying under the Maharashtra State Board. MSBHSE prepares and updates the curriculum to provide holistic development for students. It is designed to tackle the difficulty in understanding the concepts with simple language with simple illustrations. Every year around 10 lakh students are enrolled in schools that are affiliated with the Maharashtra State Board.