Question

Area of the segment?

Answer 1

34.88m²

(round 35m²)

Explanation:

• a round angle, that of the circle, is 360°, here we have a portion of 40°, we divide 360° by 40° and we have the percentage with respect to the circle

360° : 40° = 9

• we now know that the wedge is 1/9 of the circle

• find the area of ​​the whole circle having the radius (10m)

Area of Circle Formulas · Area = π × r2, where 'r' is the radius

Area = π × r2

Area = π × 10²

Area = π × 100

Area = 3.14 × 100

Area = 314 m²

• now we divide by 9 and we have the area of ​​the wedge

314 : 9 = 34.88m² (round 35m²)

Answer 2

A ≈ 34.91 m²

Explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

= πr² ×
`(40)/(360)` ( r is the radius )

= π × 10² ×
`(1)/(9)`

=
`(100\pi )/(9)`

≈ 34.91 m² ( to 2 decimal places )