{"id":587330,"date":"2022-03-29T07:55:30","date_gmt":"2022-03-29T07:55:30","guid":{"rendered":"https:\/\/www.indcareer.com\/schools\/?p=587330"},"modified":"2022-03-30T05:02:02","modified_gmt":"2022-03-30T05:02:02","slug":"maharashtra-board-solutions-class-7-maths-practice-set-42-chapter-11-circle","status":"publish","type":"post","link":"https:\/\/www.indcareer.com\/schools\/maharashtra-board-solutions-class-7-maths-practice-set-42-chapter-11-circle\/","title":{"rendered":"Maharashtra Board Solutions Class 7-Maths (Practice Set 42): Chapter 11- Circle"},"content":{"rendered":"\n

Class 7: Maths Chapter 11 solutions. Complete Class 7 Maths Chapter 11 Notes.<\/p>\n\n\n\n

Maharashtra Board Solutions Class 7-Maths (Practice Set 42): Chapter 11- Circle<\/h2>\n\n\n\n

Maharashtra Board 7th Maths Chapter 11, Class 7 Maths Chapter 11 solutions<\/p>\n\n\n\n

Question 1.
Complete the table below:<\/strong><\/p>\n\n\n\n

Sr. No<\/strong><\/td>Radius (r)<\/strong><\/td>Diameter (d)<\/strong><\/td>Circumference (c)<\/strong><\/td><\/tr>
i.<\/td>7 cm<\/td><\/td><\/td><\/tr>
ii.<\/td><\/td>28 cm<\/td><\/td><\/tr>
iii.<\/td><\/td><\/td>616 cm<\/td><\/tr>
iv.<\/td><\/td><\/td>72.6 cm<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Solution:
<\/strong>i. Radius (r) = 7 cm
Diameter (d) = 2r
= 2 x 7 = 14 cm
Circumference (c) = \u03c0d
= 227 x 14
= 44 cm<\/p>\n\n\n\n

ii. Diameter (d) = 28 cm
Radius (r) = d2=282 = 14 cm
Circumference (c) = \u03c0d
= 227 x 28
= 88 cm<\/p>\n\n\n\n

iii. Circumference (c) = 616 cm
\u2234 \u03c0d = 616
\u2234 227 x d = 616
\u2234 d = 616 x 722
\u2234 d = 196 cm
\u2234 Diameter (d) = 196 cm
Radius (r) = d2=1962 = 98 cm<\/p>\n\n\n\n

iv. Circumference (c) = 72.6 cm
\u2234 \u03c0d = 72.6
227 x d = 72.6
\u2234 d=72.6\u00d7722=72610\u00d7722=33\u00d7710
\u2234 d = 23.1 cm
\u2234 Diameter (d) = 23.1 cm
Radius (r) = d2=23.12
= 11.55 cm<\/p>\n\n\n\n

Sr. No<\/strong><\/td>Radius (r)<\/strong><\/td>Diameter (d)<\/strong><\/td>Circumference (c)<\/strong><\/td><\/tr>
i.<\/td>7 cm<\/td>14 cm<\/td>44 cm<\/td><\/tr>
ii.<\/td>14 cm<\/td>28 cm<\/td>88 cm<\/td><\/tr>
iii.<\/td>98 cm<\/td>196 cm<\/td>616 cm<\/td><\/tr>
iv.<\/td>11.55 cm<\/td>23.1 cm<\/td>72.6 cm<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Question 2.
If the circumference of a circle is 176 cm, find its radius.
Solution:<\/strong>
Circumference (c) = 176 cm
\u2234 2\u03c0r = 176
\u2234 2 x 227 x r = 176
\u2234 447 x r = 176
\u2234 r = 176 x 744 = 28 cm
\u2234 The radius of the circle is 28 cm.<\/p>\n\n\n\n

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:<\/strong>
Radius of the circular garden (r) = 56 m
\u2234 Circumference of the circular garden (c) = 2\u03c0r
= 2 x 227 x 56
= 352 m
\u2234 Length of the wire required to put 1-round fence = Circumference
\u2234 Length of wire required to put a 4-round fence = 4 x Circumference
= 4 x 352
= 1408 m
\u2234 Cost of wire per meter = Rs 40
\u2234 Total cost = length of wire required x cost of the wire
= 1408 x 40
= Rs 56320
\u2234 The cost to put a 4-round fence around the garden is Rs 56320.<\/p>\n\n\n\n

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:<\/strong>
Diameter of the wheel of the bullock cart (d) = 1.4 m
Circumference of the wheel of the bullock cart (c) = \u03c0d
=227\u00d71.4=227\u00d71410=4410=4.4m
Distance covered in 1 rotation = Circumference of the wheel
= 4.4 m
\"Maharashtra
\u2234 The wheel of the bullock cart will complete 250 rotations as the cart travels 1.1 km.<\/p>\n\n\n\n

Intext Questions and Activities<\/strong><\/p>\n\n\n\n

Question 1.
Identify the radii, chords and diameters in the circle alongside and write their names in the table below: (Textbook pg. no. 75)<\/strong><\/p>\n\n\n\n

i. Radii<\/td><\/td><\/tr>
ii. Chords<\/td><\/td><\/tr>
iii. Diameters<\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

\"Maharashtra
Solution:
<\/strong>i. OA, OB, OC, OF
ii. EC, AD, AB, FC
iii. AB, FC<\/p>\n\n\n\n

Download PDF<\/strong><\/h2>\n\n\n\n

Maharashtra Board Solutions Class 7-Maths (Practice Set 42): Chapter 11- Circle<\/p>\n\n\n\n

Download PDF<\/strong>: Maharashtra Board Solutions Class 7-Maths (Practice Set 42): Chapter 11- Circle PDF<\/a><\/p>\n\n\n\n

Chapterwise Maharashtra Board Solutions Class 7 Maths :<\/strong><\/h2>\n\n\n\n