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

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Last updated on 4 min read

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 .

Edited and fact-checked by the FixAnswer editorial team.
David Martineau

David is a home and garden expert who writes about home improvement, gardening, interior design, and property maintenance.