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leezas1101
leezas1101
06.02.2021 • 
Mathematics

What is the smaller angle formed by the minute and hour hands at 3:30pm? [asy]

unitsize(50);

draw(Circle((0,0),1),black+1);

dot((0,0));

for(real i=0;i<360;i+=6){

draw(0.96*(cos(i*pi/180),sin(i*pi/180))--(cos(i*pi/180),sin(i*pi/180)),black+0.5);

};

for(real i=30;i<390;i+=30){

draw(0.93*(cos(i*pi/180),sin(i*pi/180))--(cos(i*pi/180),sin(i*pi/180)),black+0.5);

label(string(i/30),0.83*(sin(i*pi/180),cos(i*pi/180)));

};

real h=3.5; real m=30;

draw(0.65*(sin(pi/6*(h)),cos(pi/6*(h)))--(0,0)--0.9*(sin(pi/30*m),cos(pi/30*m)),black+1,Arrows(TeXHead));

draw(anglemark(dir(-90),origin,dir(-15),5));

[/asy]


What is the smaller angle formed by the minute and hour hands at 3:30pm? [asy]unitsize(50);draw(C

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