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How do you calculate the area of a circle?

The equation is 2πr. That is 2 x pi x the radius (not the diameter!)
NO
Answered by Nick O. • Maths tutor
3653 Views

The area of a square is 49cm^2. The perimeter of the square is equal to the circumference of a circle. Work out the radius of the circle. Give your answer to 1 decimal place.

Area of a square (A s ) = Side length (L) 2 L = square root A s L = square root 49 L = 7 cm Perimeter (P) = 4L P = 4 x 7 P = 28 cm P = Circumference (C) C = 28 cm C = 2pi x Radius (r) r = C / (2pi) r = 28 / ...
WD
Answered by William D. • Maths tutor
15906 Views

Find the equation of the normal line at the point H, where θ= π/6, on the curve with equations x=3sinθ and y=5cosθ

Step 1: We begin solving this problem by finding the gradient of the tangent line at H, which is equal to dy/dx. In this case, our curve has equations x = 3sinθ and y= 5cosθ. Now, we differentiate x and y wi...
PK
Answered by Pantelis K. • Maths tutor
9345 Views

Express (3x^2 - 3x - 2)/(x-1)(x-2) in partial fractions

Step 1: When asked to exrpess something in partial fractions, we first compare the power of the numerator to the power of the denominator. In our case we have that the power of quadratic equation in the nume...
PK
Answered by Pantelis K. • Maths tutor
19733 Views

Find the roots of the quadratic equation, x^2 - 8x + 24 = 0, by completing the square.

Step 1: The fisrt step is to use the following formula when asked to complete the square, ( x + (b/2) ) 2 - (b/2) 2 + c = 0 Step 2 In our case, b=8,c=24 Hence our equation, x 2 - 8x + 24= 0 becomes (x + (-8/...
PK
Answered by Pantelis K. • Maths tutor
7778 Views