A circle is entered on the point (-1,5) and contains the point (7,11). What is the area of this circle?

The answer is 100.

Step-by-step explanation:

Given:

A circle is centered on the point(-1,5) and contains the point(7,11)

To find:

Area of a circle.

Formula:

(x – a)2 + (y – b)2 = r2

Solution:

D(A,B)=√ (xa − xb)2 + (ya − yb)2

D(A,B)=√ (7 + 1 )2 + (11− 5)2

D(A,B)=√ (8 )2 + (6)2

D(A,B)=√ 100

D(A,B)=10

Substituting in the above equation

(x + 1 )2 + (y – 5)2 = 100

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form