Question

Can someone please help me with this question?

A semicircle has radius 5.6cm. Work out the perimeter of the semicircle.​

Answer 1

pi ( 5.6 ) + 11.2 or approximately 28.79291 cm

Explanation:

The outside of the semicircle or the perimeter is 1/2 of the circumference and the length that closes the circle is the diameter.

Perimeter = 1/2 C + d

= 1/2 *pi*d + d

The diameter is 2 times the radius.

= 1/2 ( pi) * (2r) + 2r

= pi r + 2 r

= pi ( 5.6 ) + 11.2

Approximating pi, we get approximately 28.79291

Answer 2

28.79 cm.

Explanation:

The perimeter of a semicircle is equal to the sum of the diameter (which is twice the radius) and half of the circumference of the circle.

The diameter of the semicircle is 2 × 5.6cm = 11.2cm.

The circumference of a full circle with radius 5.6cm is 2π × 5.6cm = 11.2π cm.

Therefore, the circumference of the semicircle is 1/2 of the circumference of the full circle, which is 1/2 × 11.2π cm = 5.6π cm.

The perimeter of the semicircle is the sum of the diameter and the circumference, which is:

11.2cm + 5.6π cm ≈ 28.79cm (rounded to two decimal places)

Therefore, the perimeter of the semicircle is approximately 28.79 cm.