Please solve question 6, doing surds
1 answer:
See the attached diagram, it has all the information you need.
(a) If the green radii are all 1, then the orange diameters are all 2 + √2, so that the orange radii are (2 + √2)/2 = 1 + √2/2.
This is because we can join the radii of two adjacent green circles to form the sides of a square with side length equal to twice the radius - i.e. the diameter - of the green circles. The diagonal of any square occurs in a ratio to the side length of √2 to 1. Then we get the diameter of an orange circle by summing this diagonal length and two green radii, and hence the radius by dividing this by 2.
(b) We get the blue diameter in the same way. It has length (2 + √2) (1 + √2/2) = 3 + 2√2, so that the blue radius is (3 + 2√2)/2 = 3/2 + √2.
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Answer:
48 square unit
Step-by-step explanation:
For a rectangle, area is given by
A=bh
Where b is base and h is height as shown in the attached diagram
For a triangle, area is given by
A∆=½bh
Given that ½bh=48
Then bh=2*48=96 square units
The overall area is 96 square units.
The area for 1&2 combined will be given by deducting the area of triangle from the overall area
Area is 96-48=48 square units
