To find the scale factor<span>, locate two corresponding sides, one on each figure. Write the ratio of one length to the other to </span>find the scale factor<span> from one figure to the other.</span>
Hello!
The radius is half the diameter
This is not true because 16 is not half of 8
The answer is false
Hope this helps!
9) yes it is similar : it does not have to be congruent
10) scale factor: 2 (inside) :3 (outside)
11) ratio: 16 (inside) : 24 (outside)
12) Yes they are similar
hope this helps
Hint:
Diameter(d)= 2 radius(r)
circumference= 2πr= πd
1. diameter= 19 × 2 = 38 inches
circumference= 3.18(38) = 119 inches (3 s.f.)
Note that I use 3.18 instead of π because the question states to use 3.14 for π.
Likewise, if you are given the diameter, divide it by 2 to find radius. Let's try a question which only gives you the diameter.
4. radius= 22 ÷ 2 = 11cm
circumference= 3.14(22) = 69.1cm (3 s.f.)
Based on the given condition, since the rectangle is inscribed in a circle given the length to be 3x, the width can be approximated by taking the right triangle formed by the radius and the w/2, sin 45 = w/2/r, which is equal to w = 2r sin45, therefore the Area of the inscribed rectangle = LxW = (3x)(2rsin45)
