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

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

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If a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?

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

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

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What is the area of a sector of a circle with radius 14 cm and central angle 90°?

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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 3x = 81, what is the value of x?

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If a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?

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If x^2 - 5x + 6 = 0, what are the roots?

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What is the greatest common divisor (GCD) of 36 and 48?

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