Topic Details (Notes format)

How to Convert Degrees to Radians and Vice Versa

Subject: Mathematics

Book: Maths Mastery

Angle measurement in degrees and radians is crucial for advanced math, physics, and engineering. The conversion formula is: Radians = (π/180) × Degrees, and Degrees = (180/π) × Radians. Thus, 180° equals π radians, 360° equals 2π radians, and 90° equals π/2 radians. This knowledge is indispensable for tasks like analyzing rotational motion, applying trigonometry in calculus, or programming software that expects radian inputs. Being able to transition effortlessly between these units enriches your understanding of angles and rotational phenomena across multiple domains.

Practice Questions

If the radius of a circle is doubled, what happens to its area?

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If a + b = 10 and ab = 21, what is the value of a^2 + b^2?

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What is the square root of 144?

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If the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?

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If sin(A) = 3/5 and cos(B) = 5/13, where A and B are acute angles, what is sin(A+B)?

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What is the sum of the first 10 positive even numbers?

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What is the area of an equilateral triangle with side length 10 cm?

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What is the sum of all even numbers between 1 and 100?

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A number is increased by 20% and then decreased by 20%. What is the net change?

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If the perimeter of a square is 36 cm, what is the length of its diagonal?

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