Two semicircles are inscribed in a square with side 8 cm as shown. Find the area of the shaded region.
1 answer:
Area of square = 8 * 8 = 64 sq cm
Circle inscribed would touch all sides, meaning the diameter is equal to the side length. Thus the radius would be half the width, or 4 cm.
Area of circle =
=
= 3.14 * 16
= 50.24 sq cm
Then remove the circle area from the square area.
64 - 50.24 = 9.76 sq cm.
This is if that is how the image looks.
Circle inscribed would touch all sides, meaning the diameter is equal to the side length. Thus the radius would be half the width, or 4 cm.
Area of circle =
=
= 3.14 * 16
= 50.24 sq cm
Then remove the circle area from the square area.
64 - 50.24 = 9.76 sq cm.
This is if that is how the image looks.
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Answer:
(6y + 2)² = 4x²
Step-by-step explanation:
Given: x - 1 = 3y
Dividing by 3,
⇒ y =
Now, to determine 6y, multiply the equation throughout by 6y.
⇒ 6y =
⇒ 6y = 2(x - 1)
⇒ 6y = 2x - 2
Now, for 6y + 2, add 2 on both sides.
⇒ 6y + 2 = 2x - 2 + 2
⇒ 6y + 2 = 2x
Finally, Squaring both sides, will give us (6y + 2)².
⇒ (6y + 2)² = (2x)²
= 4x² which is the required answer.