Question

A sign for an ice cream shop is made from a semicircle and an isosceles triangle, as shown below. < Back to task What is the total area of the sign? Give your answer in cm² to 1 d.p. 2 48 cm 61 cm Not drawn accurately​

Answer 1

Since this sign is made from a semicircle and an isosceles triangle, the total area of the sign is 2368.3 square centimters.

In Mathematics and Geometry, the area of a semicircle can be calculated by using this mathematical equation (formula):

Area of semicircle = π
`d^2`/8

Where:

r represents the radius of a semicircle.

By substituting the given radius into the formula for the area of a semicircle, we have the following;

Area of semicircle = 3.14 ×
`48^2`/8

Area of semicircle = 904.3 square centimters.

Area of isosceles triangle = 1/2 × base × height

Area of isosceles triangle = 1/2 × 48 × 61

Area of isosceles triangle = 1464 square centimters.

Now, we can determine the total area of the sign;

Total area of the sign = Area of semicircle + Area of isosceles triangle

Total area of the sign = 904.3 + 1464

Total area of the sign = 2368.3 square centimters.