Question

The diagram shows a sector of a radius 10cm. Find the area of the sector, giving your answer correct to 1 decimal place.

Answer 1

Answer:

The area of the sector is 117.8 square centimeters

Step-by-step explanation:

step 1

Find the area of the complete circle of radius 10 cm

The area of the circle is

$A=\pi r^{2}$

substitute the give values

$A=(3.14)10^{2}=314\ cm^2$

step 2

Find the area of the sector

we know that

The area of complete circle subtends a central angle of 360 degrees

so

using proportion

Find out the area of the sector by a central angle of 135 degrees

$\frac{314}{360^o}=\frac{x}{135^o}\\\\x=314(135)/360\\\\x=117.8\ cm^2$

therefore

The area of the sector is 117.8 square centimeters

Answer 2

Answer:

= 117.8cm^2

Step-by-step explanation:

A = 135/360 x π x 10^2

= 117.809725

= 117.8cm^2