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

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

substitute the give values

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

therefore

The area of the sector is 117.8 square centimeters

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d