ggaurisha
Answered

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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 330pmasyunitsize50drawCircle001black1dot00forreal I0ilt360i6draw096cosipi180sinipi180cosipi180s class=

Sagot :

Answer:

75 degrees

Step-by-step explanation:

At 3:30, the hour hand is halfway between the 3 and the 4. The minute hand is exactly on the 6.

There are 360/12 = 30 degrees between each of the marked hours. The angle between the hands covers 2.5 of these gaps, so the angle between the hands is 2.5(30) = 75 degrees.

Hope this helps!

facundo3141592

The angle between the hands at 3:30 pm is 90°.

What is the angle between the hands of a clock at 3:30 pm?

At that time, one hand points at the 3, and the other hand points at the 6.

Now, there is a rule to transform time into angles.

We know that a clock has 12 hours in a full revolution, and a circle has 360° in a complete revolution.

Then we know that:

12 hours = 360°

Then:

1 hour = (360°/12)  = 30°

So each between each number in the clock we have an angle of 30°.

Then, between 3 and 6 (3 hours) we have:

3*30° = 90°

The angle between the hands at 3:30 pm is 90°.

If you want to learn more about angles, you can read:

https://brainly.com/question/17972372

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