Jawaban:

Persamaan lingkaran dengan titik pusat open parentheses a comma space b close parentheses dan jari-jari r adalah:

open parentheses x minus a close parentheses squared plus open parentheses y minus b close parentheses squared equals r squared

Diketahui titik straight A open parentheses 2 comma space 4 close parentheses dan titik straight B open parentheses 6 comma space 6 close parentheses.

Tentukan titik pusat lingkaran.

table attributes columnalign right center left columnspacing 0px end attributes row cell straight P open parentheses a comma space b close parentheses end cell equals cell straight P open parentheses fraction numerator x subscript 1 plus x subscript 2 over denominator 2 end fraction comma space fraction numerator y subscript 1 plus y subscript 2 over denominator 2 end fraction close parentheses end cell row blank equals cell straight P open parentheses fraction numerator 2 plus 6 over denominator 2 end fraction comma space fraction numerator 4 plus 6 over denominator 2 end fraction close parentheses end cell row blank equals cell straight P open parentheses 4 comma space 5 close parentheses end cell end table

dengan a equals 4 dan b equals 5.

Panjang diameter lingkaran (panjang AB).

table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar AB close vertical bar end cell equals cell square root of open parentheses x subscript 2 minus x subscript 1 close parentheses squared plus open parentheses y subscript 2 minus y subscript 1 close parentheses squared end root end cell row blank equals cell square root of open parentheses 6 minus 2 close parentheses squared plus open parentheses 6 minus 4 close parentheses squared end root end cell row blank equals cell square root of 20 end cell row blank equals cell square root of 4 times 5 end root end cell row blank equals cell 2 square root of 5 space satuan space panjang end cell end table

Jari-jari lingkaran adalah setengah dari diameter lingkaran.

Tentukan jari-jari lingkaran.

r equals d over 2 r equals fraction numerator open vertical bar AB close vertical bar over denominator 2 end fraction r equals fraction numerator 2 square root of 5 over denominator 2 end fraction r equals square root of 5 space satuan space panjang

Persamaan lingkaran dengan diameter AB.

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses x minus a close parentheses squared plus open parentheses y minus b close parentheses squared end cell equals cell r squared end cell row cell open parentheses x minus 4 close parentheses squared plus open parentheses y minus 5 close parentheses squared end cell equals cell open parentheses square root of 5 close parentheses squared end cell row cell x squared minus 8 x plus 16 plus y squared minus 10 y plus 25 end cell equals 5 row cell x squared plus y squared minus 8 x minus 10 y plus 36 end cell equals 0 end table

Jadi, persamaan lingkaran dengan diameter AB adalah Error converting from MathML to accessible text..