Question

20 points help help help

Answer 1

Area = 147pi cm²

Perimeter = (21pi + 28) cm

Explanation:

Angle at the centre appear to be 270°

Area = (270/360) × pi × 14²

= 147pi cm²

Perimeter =

[(270/360) × 2 × pi × 14] + 14 + 14

(21pi + 28) cm

Answer 2

The perimeter of the shape is 94 cm and the area is 462 sq cm.

Explanation:

Given,

The radius (r) = 14 cm

To find the area and perimeter of the given shape.

The given shape is
`(3)/(4)` of the full circle.

Formula

The perimeter of the circle = 2πr

The perimeter of the given shape =
`(3)/(4)`(2πr)+r+r =
`(3)/(4)`(2πr)+2r

The area of the circle = πr²

Now,

The perimeter of the given shape =
`(3)/(4)`(2×
`(22)/(7)`×14)+2×14 = 94 cm

The area of the given shape =
`(3)/(4)`(πr²)

=
`(3)/(4)`×
`(22)/(7)`×14² = 462 sq cm