Hi im doing measurement at skool at the moment and i cant quite ork out some questions. Can someone please help!!

A circular portrait photograph has a diameter 18cm and is to be placed in a 20cm square frame. Determine the ratio of the area of the photograph to the area of the frame.

Of course! I'd be happy to help you with that question.

To determine the ratio of the area of the photograph to the area of the frame, we first need to find the areas of both the photograph and the frame. Let's start with the photograph:

1. The formula to calculate the area of a circle is A = π * r^2, where A is the area and r is the radius.

2. The radius of a circle is half its diameter. Since the diameter of the photograph is given as 18 cm, the radius would be 9 cm (18 cm / 2).

3. Now, substitute the radius into the formula: A = π * (9 cm)^2.

Using the approximation π ≈ 3.14, we can calculate the area of the photograph.

A_photograph = 3.14 * (9 cm)^2.

To find the area of the square frame:

1. The area of a square can be calculated using the formula A = side^2, where A is the area and side is the length of one side of the square.

2. The side length of the square frame is given as 20 cm.

3. Calculate the area of the square frame using the formula: A_frame = (20 cm)^2.

Now that we have the areas of both the photograph and the frame, let's calculate the ratio:

Ratio = A_photograph / A_frame.

Substituting the values we calculated earlier:

Ratio = (3.14 * (9 cm)^2) / ((20 cm)^2).

Calculating this expression will give you the ratio of the area of the photograph to the area of the frame.