Question

A lemon tart has a circular top with a radius of 5 inches. Gina cuts a piece from the tart in the shape of a sector formed by a central angle with measure 27°.

A sector formed by a 27 degree central angle is shown on a circle.

What is the area, in square inches, of the top of the piece that Gina cut out?

A.
A
=
27
180
(
25
π
)

B.
A
=
27
360
(
10
π
)

C.
A
=
27
180
(
10
π
)

D.
A
=
27
360
(
25
π
)

Answer 1

Sector area = (central angle / 360) × πr^2 = (27/360) × π × 5^2 = (27/360)(25π).

So answer D (which equals 15/8 π).