# Sphere from tree points

Equation of sphere with three point (a,0,0), (0, a,0), (0,0, a) and center lies on plane x+y+z=a

**Result****Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):**

**Showing 2 comments:**

**Math student**

how can you write r=a.(2/3)

is this applicable for all plane equation?

^{1}/2is this applicable for all plane equation?

**Dr Math**

We found some bugs in this problem, but I think now is OK solution:

(x+a)

(x+a)

^{2}+ (y+a)^{2}+(z-3a)^{2}= 6 a^{2}#### To solve this example are needed these knowledge from mathematics:

## Next similar examples:

- Calculate

Calculate the length of a side of the equilateral triangle with an area of 50cm^{2}. - Right angled triangle

Hypotenuse of a right triangle is 17 cm long. When we decrease length of legs by 3 cm then decrease its hypotenuse by 4 cm. Determine the size of legs. - Theorem prove

We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started? - Triangle ABC

In a triangle ABC with the side BC of length 2 cm The middle point of AB. Points L and M split AC side into three equal lines. KLM is isosceles triangle with a right angle at the point K. Determine the lengths of the sides AB, AC triangle ABC. - RTriangle 17

The hypotenuse of a right triangle is 17 cm. If you decrease both two legs by 3 cm you will reduce the hypotenuse by 4 cm. Determine the length of this legs. - Discriminant

Determine the discriminant of the equation: ? - Roots

Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ? - Quadratic equation

Find the roots of the quadratic equation: 3x^{2}-4x + (-4) = 0. - Catheti

The hypotenuse of a right triangle is 41 and the sum of legs is 49. Calculate the length of its legs. - Solve 3

Solve quadratic equation: (6n+1) (4n-1) = 3n^{2} - Ball game

Richard, Denis and Denise together scored 932 goals. Denis scored 4 goals over Denise but Denis scored 24 goals less than Richard. Determine the number of goals for each player. - Equation

Equation ? has one root x_{1}= 8. Determine the coefficient b and the second root x_{2}. - RT and circles

Solve right triangle if the radius of inscribed circle is r=9 and radius of circumscribed circle is R=23. - Variation equation

Solve combinatorics equation: V(2, x+8)=72 - Geometric sequence 5

About members of geometric sequence we know: ? ? Calculate a_{1}(first member) and q (common ratio or q-coefficient) - Linsys2

Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144 - Isosceles IV

In an isosceles triangle ABC is |AC| = |BC| = 13 and |AB| = 10. Calculate the radius of the inscribed (r) and described (R) circle.