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 train 150 m long passes a pole in 15 seconds. What is its speed?

View Question

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

View Question

If a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?

View Question

The probability of rolling a sum of 7 with two dice is:

View Question

What is the square root of 0.25?

View Question

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

View Question

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

View Question

If a cone has a radius of 5 cm and a height of 12 cm, what is its slant height?

View Question

If x^2 + 4x + 4 = 0, what is the value of x?

View Question

What is the sum of the interior angles of a hexagon?

View Question