Question
A circle inscribed in a square has a diameter of 14 cm.
If a smaller square is inscribed within this circle, calculate the area of the smaller square. Also, find the area of the region between the two squares.Solution
The diameter of the circle is 14 cm, so its radius is 7 cm. The diagonal of the smaller square is equal to the diameter of the circle, which is 14 cm. Using the formula for the diagonal of a square (d = a√2), where a is the side of the square, we find that the side of the smaller square is a = 14/√2 = 7√2. Area of smaller square = (7√2)² = 98 cm². Area of larger square = 14² = 196 cm². Area of the region = 196 - 98 = 98 cm². Correct answer: a) Area of smaller square = 98 cm², Area of region = 98 cm²
Programming language Java was developed by________.
Who among the following served as the first Chief Justice of India?
In which of the following states is Bhiti Chitra (fresco painting) a popular art form?
Which of the following is/are one of the United Nations Sustainable Development Goals?
(A) Zero Hunger
(B) Climate Action
(C...
When were the 2019 Special Olympics World Summer Games inaugurated?
With which of the following Financial Institution, Gruh Finance was merged?Â
The number of non-permanent members of the UN Security Council is:
The main aim of the 'Ganga Action Plan' is:
What is the name of the research station set up by India in Antarctica in the year 2015?