The largest square that can be drawn in a circle has a side whose length is 0.707 times the diameter of the circle. By this rule, find the length of the side of such a square when the diameter of the circle is (a) 14.35 cm (b) 8.63 cm
Solution:
(a) Given: Diameter of the circle = 14.35 cm
So, length of the side of the square
= 0.707 × 14.35 cm
= 10.14545 = 10.15 cm
(b) Given: Diameter of the circle = 8.63 cm
So, length of the side of the square
= 0.707 × 8.63 cm
= 6.10141 cm = 6.10 cm
✦ Try This: The largest square that can be drawn in a circle has a side whose length is 1.7 times the diameter of the circle. By this rule, find the length of the side of such a square when the diameter of the circle is (a) 15.75 cm (b) 9.63 cm
To solve the above problem you can follow the fractions and decimals rules to get the required answer.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 2
NCERT Exemplar Class 7 Maths Chapter 2 Exercise Problem 70
The largest square that can be drawn in a circle has a side whose length is 0.707 times the diameter of the circle. By this rule, find the length of the side of such a square when the diameter of the circle is (a) 14.35 cm (b) 8.63 cm
Summary:
When the diameter of the circle is 14.35 cm the length of the side of such a square is 10.15 cm.
When the diameter of the circle is 8.63 cm the length of the side of such a square is 6.10 cm.
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