How Do You Find The Area Of A Square Inscribed In A Semicircle?

by | Last updated on January 24, 2024

, , , ,

1 Expert Answer

If the semicircle is adjacent to the square, that means that the semicircle has a diameter equal to the length of the square, which is 32 cm. The formula for the area of a circle is

pi times the radius squared

. Because the diameter of the semicircle is 32, the radius is half of that, or 16.

How do you find the area of a square with a semicircle?

1 Expert Answer

If the semicircle is adjacent to the square, that means that the semicircle has a diameter equal to the length of the square, which is 32 cm. The formula for the area of a circle is

pi times the radius squared

. Because the diameter of the semicircle is 32, the radius is half of that, or 16.

How do you find the area of a square that can be inscribed?

When a circle is inscribed in a square, the length of each side of the square is equal to the diameter of the circle. That is, the diameter of the inscribed circle is 8 units and therefore the radius is 4 units. The area of a circle of radius r units is A

=πr2

. Substitute r=4 in the formula.

How do you find area?

To find the area of a rectangle or a square you need

to multiply the length and the width of a rectangle or a square

. Area, A, is x times y.

What is the area of quadrant?

The formula of area of quadrant of circle goes by, Area of a Quadrant

= πr

2

/ 4

.

What is the area of the circle that can be inscribed in a square of side 6cm?


36 πcm2

.

What is the area of a circle that can be inscribed in a square of side 8 cm?

radius =8cm diameter = 2*8=16cm . Then let side of square be X so a/q Xsq + Xsq =16 sq so Xsq =

128 cm sq

. It’s your answer.

What is the area of the largest square that can be inscribed?


24 cm2

.

How do I find the perimeter and area?

The perimeter P of a rectangle is given by the formula,

P=2l+2w

, where l is the length and w is the width of the rectangle. The area A of a rectangle is given by the formula, A=lw , where l is the length and w is the width.

How do you find the area of all shapes?

  1. Square area formula: A = a2
  2. Rectangle area formula: A = a * b.
  3. Triangle area formulas: A = b * h / 2 or. …
  4. Circle area formula: A = πr2
  5. Circle sector area formula: A = r2 * angle / 2.
  6. Ellipse area formula: A = a * b * π
  7. Trapezoid area formula: A = (a + b) * h / 2.
  8. Parallelogram area formulas:

What is the perimeter formula?

Table 1 . Perimeter Formulas Shape Formula Variables Square

P=

4s s is the length of the side of the square.
Rectangle P=2L+2W L and W are the lengths of the rectangle’s sides (length and width). Triangle a+b+c a,b , and c are the side lengths.

What is the area of the quadrant calculator?

  1. As quadrant is a quarter of a circle, we can write the formula as: Quadrant area = Circle area / 4 = πr2 / 4.
  2. Quadrant’s central angle is a right angle (π/2 or 90°), so you’ll quickly come to the same equation: Quadrant area = α * r2 / 2 = πr2 / 4.

What is the meaning of quadrant of circle?

quadrant Add to list Share. A quadrant is

one-fourth of a circle

. … When a circle is evenly divided into four sections by two perpendicular lines, each of the four areas is a quadrant.

How do you calculate quadrant?

Now, to calculate the area of a quadrant,

divide the area of a circle by 4

(as four quadrants make a circle). We get, Area of a quadrant, A= (πr

2

)/4 Square units.

What is the area of circle that can be inscribed in a square of side 10 cm?

For inscribed circle: radius=side of square2⇒r1=102=5cm. We know that, area of the circle is given by πr2. So, the area of the inscribed circle is

πr12=π×52=25πcm2

.

What is the area of 6cm circle?

The area of a circle is equal to

Pi π times the radius r squared

. Substitute in the value of the radius r=6 into the formula for the area of a circle. Pi π is approximately equal to 3.14 . Raise 6 to the power of 2 .

David Martineau
Author
David Martineau
David is an interior designer and home improvement expert. With a degree in architecture, David has worked on various renovation projects and has written for several home and garden publications. David's expertise in decorating, renovation, and repair will help you create your dream home.