In the diagram at the left, O is the center of the circle, MNOP is a rectangle, and the area of the circle is 100π. What is the
1 answer:
The length of the diagonal of the rectangle will be 14.142 units.
<h3>What exactly is a rectangle?</h3>
It has four sides and is a polygon. The internal angle total is 360 degrees. The opposing sides of a rectangle are parallel and equal, and each angle is 90 degrees.
Rectangle diagonals are equally equal and meet at the midpoint.
O is the circle's center, MNOP is its rectangle, and the circle's area is 100 in the diagram to the left.
Area of circle=πr²
100 π= πr²
r= 10 units
The length of the rectangle is equal to the radius of the circle is 10 units. The length of the diagonal is √2 times the side of the rectangle;
L=√2 R
L=1.414×10
L=14.14
Hence the length of the diagonal of the rectangle will be 14.142 units.
To learn more about the rectangle, refer to the link brainly.com/question/13747846.
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Answer:
45 square inches
Step-by-step explanation:
Akira receives the prize at the science fair for having the most informative project her trophy is in the shape of a square pyramid and is covered in shiny gold foil how much gold foil did it take to cover the trophy including the bottom
Total surface = surface area of the base square + area of 4 triangles
Calculate the surface area of the base square
surface area of the square = s^2
where s= side length
s=3 in
The surface area of the base =s^2
=3^2
= 9 square inches
The surface area of the side triangles
The area of the triangle = (1/2)* side length* slant height
Side length=3 in
Slant height=6 in
substituting the values,
The area of the triangle =1/2*3*6
= 18/2
= 9 square inches
There are 4 triangles
The area of 4 triangles = 4 x 9
= 36 square inches
Therefore,
Total surface = surface area of the base square + area of 4 triangles
= 9 + 36
= 45 square inches
