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 ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

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A sum triples in 20 years at simple interest. What is the rate of interest per annum?

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If x:y = 4:5 and y:z = 2:3, what is x:z?

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The probability of getting an even number when rolling a die is:

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If sin(A) = 1/2 and A is acute, what is the value of A?

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If the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?

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If a square has a perimeter of 64 cm, what is its area?

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A sphere has a radius of 7 cm. What is its volume?

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If the perimeter of a square is 40 cm, what is the area of the square?

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If a right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?

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