A circle with radius of 1 cm sits inside a 11 cm x 12 cm rectangle.
1 answer:
Answer:
128.86 square centimetres
Step-by-step explanation:
I will assume that the shaded region is the area in between the circle and the rectangle.
All we have to do is find the area of the circle and subtract it from the area of the rectangle.
Area of a circle is given as:
where r = radius
The radius of the circle is 1 cm, so, the area of the circle is therefore:
= 3.14 square centimetres
The area of a rectangle is given as:
A = L * B
The dimensions of the rectangle are 11 cm by 12 cm. The area of the rectangle is:
A = 11 * 12 = 132 square centimetres
The area of the shaded part is therefore:
A = 132 - 3.14 = 128.86 square centimetres
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Answer:
The equation of the line is y - 3 = -2(x + 4)
Step-by-step explanation:
* Lets explain how to solve the problem
- The slope of the line which passes through the points (x1 , y1) and
(x2 , y2) is
- The product of the slopes of the perpendicular lines = -1
- That means if the slope of a line is m then the slope of the
perpendicular line to this line is -1/m
- The point-slope of the equation is
* lets solve the problem
∵ A given line passes through points (-4 , -3) and (4 , 1)
∴ x1 = -4 , x2 = 4 and y1 = -3 , y2 = 1
∴ The slope of the line
- The slope of the line perpendicular to this line is -1/m
∵ m = 1/2
∴ The slope of the perpendicular line is -2
- Lets find the equation of the line whose slope is -2 and passes
through point (-4 , 3)
∵ x1 = -4 , y1 = 3
∵ m = -2
∵ y - y1 = m(x - x1)
∴ y - 3 = -2(x - (-4))
∴ y - 3 = -2(x + 4)
* The equation of the line is y - 3 = -2(x + 4)