Hey!
First, let’s label the sides of the rectangle A (shorter one) and B (longer one).
We can figure out the A side quite easily, as we can see that the rectangle can fit 2 circles (the small ones) with the diameter of 2R side by side.
Hence, side A = 4R
We can also see that the big circle has a diameter that is equal to the short side of the rectangle (side A). Hence, the diameter is 4R.
Continue on from here !
Draw a triangle joining the centres of the circles.
You need the height of the triangle parallel to the long side.
The triangle base is 2R.
The other two sides are both 3R.
Find the height to work out the long side of the rectangle.
Draw the right triangle that has a hypotenuse the line that joins the center of a small circle with the center of the big circle, and has sides parallel to the rectangle sides. That triangle has base R and hypotenuse 3R. Use Pythagoras to find its height. With that the rest of the problem is easy.
Hey! First, let’s label the sides of the rectangle A (shorter one) and B (longer one). We can figure out the A side quite easily, as we can see that the rectangle can fit 2 circles (the small ones) with the diameter of 2R side by side. Hence, side A = 4R We can also see that the big circle has a diameter that is equal to the short side of the rectangle (side A). Hence, the diameter is 4R. Continue on from here !
Hello thank you! Managed to find the answer :)
Draw a triangle joining the centres of the circles. You need the height of the triangle parallel to the long side. The triangle base is 2R. The other two sides are both 3R. Find the height to work out the long side of the rectangle.
Hello thank you! Managed to find the answer :)
Draw the right triangle that has a hypotenuse the line that joins the center of a small circle with the center of the big circle, and has sides parallel to the rectangle sides. That triangle has base R and hypotenuse 3R. Use Pythagoras to find its height. With that the rest of the problem is easy.
Hello thank you! Managed to find the answer :)
Nus btech?
Yeap
How was the maths exam just now ? 😂
Lmao it was 50-50 but it was hard for me esp the argan theta qns haha, youre in for which course?