Circle

Write the equation of a circle that passes through the point [0,6] and touch the X-axis point [5,0]:

$(x-x_S{)}^2+(y-y_S{)}^2=r^2$

Correct result:

x_S =  5
y_S =  5.08
r =  5.08

Solution:

$$\begin{gathered} S[x_S;y_S]=?;r=? \\ {x}_S=5 \\ {y}_S=r \\ (0-5{)}^2+(6-y_S{)}^2=r^2=y_S^2 \\ {y}_S={\displaystyle \frac{5^2+6^2}{2\cdot 6}}=5.08 \\ r=5.08 \\ (x-5{)}^2+(y-5.08{)}^2=5.08^2 \end{gathered}$$

$r=(5\cdot 5+6\cdot 6)\mathrm{/}(2\cdot 6)=5.08$

Try another example

Showing 0 comments:

Next similar math problems:

• Fraction to decimal infinite
  Determine which digit is in 1000th place after the decimal point in the decimal expansion of the fraction 9/28.
• Collection of stamps
  Jano, Rado, and Fero have created a collection of stamps in a ratio of 5: 6: 9. Two of them had 429 stamps together. How many stamps did their shared collection have?
• Boats
  Three-quarters of boats are white, 1/7 are blue and 9 are red. How many boats do we have?
• My father
  My father has a big farm. 6/8 of it were planted with mango trees, 1/2 of the remainder are guava trees and the rest 10 trees are santol trees. What is the number of all trees?
• Closest natural number
  Find the closest natural number to 4.456 to 44.56 and 445.6.
• Fraction
  Fraction ? write as fraction a/b, a, b is integers numerator/denominator.
• Diophantus
  We know little about this Greek mathematician from Alexandria, except that he lived around 3rd century A. D. Thanks to an admirer of his, who described his life through an algebraic riddle, we know at least something about his life. Diophantus's youth las
• Youth track
  Youth track from Hronská Dúbrava to Banská Štiavnica which announced cancellation attracted considerable media attention and public opposition, has cost 6.3 euro per capita and revenue 13 cents per capita. Calculate the size of subsidies to a trip group o
• Four pupils
  Four pupils divided $ 1485 so that the second received 50% less than the first, the third 1/2 less than a fourth and fourth $ 154 less than the first. How much money had each of them?
• Camp
  In the camp are children. 1/2 went on a trip, 1/4 went to bathe and 38 children remained in the room. How many children are in camp?
• Homework
  In the crate are 18 plums, 27 apricot and 36 nuts. How many pieces of fruit left in the crate when Peter took 8 ninth: 1. nuts 2. apricots 3. fruit 4. drupe
• How many
  How many integers are greater than 547/3 and less than 931/4?
• What is 11
  What is the quotient of Three-fifths and 1 Over 10?
• Shepherd
  Kuba makes a deal with a shepherd to take care of his sheep. Shepherd said Kuba that after a year of service, he would receive twenty gold coins and one sheep. But Kuba resigned just after the seventh month of service. But shepherd rewarded him and paid h
• Milk crates
  A farmer sells milk in crates that hold 15 bottles. She has 34,125 bottles of milk. How many crates can the farmer fill?
• Secondary school
  1/2 of the pupils want to study at the secondary school, 1/4 at the apprentice, 1/6 at the grammar school 3 pupils do not want to study. How many students are in the class?
• Drawing from a hat
  When drawing numbers from a hat from 1 to 35, we select random given numbers. What is the probability that the drawn numbers will be divisible by 8 and 2?