[amp_mcq option1=”2.5 cm” option2=”4.0 cm” option3=”7.5 cm” option4=”6.0 cm” correct=”option2″]<\/p>\n
The correct answer is (b) 4.0 cm.<\/p>\n
The diameter of each circle is 4 cm, and the radius of each circle is 2 cm. The centers of the four circles are located at the four vertices of a square. The distance between any two adjacent vertices of a square is 2\u00e2\u0088\u009a2 cm. Therefore, the distance between the centers of any two adjacent circles is 2\u00e2\u0088\u009a2 + 2 = 4 cm.<\/p>\n
The following figure shows a diagram of the four circles with their centers at the four vertices of a square. The dashed lines represent the radii of the circles.<\/p>\n
[asy]
\nunitsize(1 cm);<\/p>\n
draw((0,0)–(2,0)–(2,2)–(0,2)–cycle);
\ndraw((0,0)–(1,1));
\ndraw((1,0)–(2,1));
\ndraw((2,0)–(1,1));<\/p>\n
draw((0,0) circle(2 cm);
\ndraw((1,0) circle(2 cm);
\ndraw((2,0) circle(2 cm);
\ndraw((0,2) circle(2 cm));
\n[\/asy]<\/p>\n
Each circle touches two other circles. The two circles that touch a given circle are the circles that are adjacent to the given circle in the square. Therefore, the distance between the centers of any two adjacent circles is 4 cm.<\/p>\n","protected":false},"excerpt":{"rendered":"
[amp_mcq option1=”2.5 cm” option2=”4.0 cm” option3=”7.5 cm” option4=”6.0 cm” correct=”option2″]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[41],"tags":[],"class_list":["post-2510","post","type-post","status-publish","format-standard","hentry","category-geometry","no-featured-image-padding"],"yoast_head":"\n