a semi circle of diameter 6cm is cut from a rectangle with sides 6cm and 8cm.calculate the perimeter of the shaded shape correct to 1 decimal place

6.8

To find the perimeter of the shaded shape, we need to calculate the length of the remaining sides of the rectangle after the semi-circle is removed.

1. Since the diameter of the semi-circle is 6 cm, the radius will be half of that, which is 3 cm.

2. The length of the remaining side after removing the semi-circle will be the length of the rectangle minus the diameter of the semi-circle, which is 8 cm - 6 cm = 2 cm.

3. The width of the remaining side will remain the same, which is 6 cm.

4. To calculate the perimeter, we add up all the sides: 2 cm + 6 cm + 2 cm + 6 cm = 16 cm.

Therefore, the perimeter of the shaded shape is 16 cm (correct to 1 decimal place).

To calculate the perimeter of the shaded shape, we need to find the length of the remaining sides of the rectangle after cutting the semicircle from it.

The diameter of the semicircle is equal to the width of the rectangle, which is 6 cm. This means the radius of the semicircle is half of the diameter, which is 3 cm.

To find the length of the remaining sides of the rectangle, we need to subtract twice the radius of the semicircle from the original sides. The original length of the rectangle is 8 cm, so subtracting 2 * 3 cm will give us the length of the remaining side.

8 cm - 2 * 3 cm = 8 cm - 6 cm = 2 cm

Therefore, the remaining sides of the rectangle have a length of 2 cm.

Now, we can calculate the perimeter of the shaded shape - which consists of three sides: the remaining side of the rectangle and the two halves of the semicircle.

The perimeter of the shaded shape = length of the remaining side of the rectangle + circumference of the semicircle

The length of the remaining side of the rectangle is 2 cm.

The circumference of a circle can be calculated using the formula:
Circumference = 2 * π * radius
Since we have a semicircle, we need to divide the circumference by 2.

Circumference of the semicircle = 2 * π * radius / 2 = π * radius

Circumference of the semicircle = 3.14 * 3 cm = 9.42 cm (approx.)

So, the perimeter of the shaded shape = length of remaining side + circumference of semicircle = 2 cm + 9.42 cm = 11.42 cm

Therefore, the perimeter of the shaded shape, correct to 1 decimal place, is 11.4 cm.

the perimeter is half a circle plus the diameter, so

3π+6

assuming the shaded shape is the semicircle.

If not, I'm sure you can work it out.