College

Question 29 of 44What is the area of the sector shown in the diagram below?45°10 cmсOA. 11.1 cm²B. 2.5 cm²OC. 39.3 cm²OD. 50 cm²

Question 29 of 44What is the area of the sector shown in the diagram below 45 10 cmсOA 11 1 cm²B 2 5 cm²OC 39

Answer :

Solution

- The formula for finding the area of a sector is given below:

[tex]\begin{gathered} A=\frac{\theta}{360}\times\pi\times r^2 \\ where, \\ r=radius \end{gathered}[/tex]

- We can calculate the area as follows:

[tex]\begin{gathered} r=10,\theta=45 \\ A=\frac{45}{360}\times\pi\times10^2 \\ \\ A=12.5\pi cm^2\approx39.3cm^2 \end{gathered}[/tex]

Final Answer

The area is 39.3square cm (OPTION C)

Other Questions