the radius of the circle is 4 cm and the measure of the central angle is 90°.
the area of the sector with a central angle measuring 90° and radius of length 4 cm is π cm2.
the triangle in the sector is .
the area of the triangle is cm2.
the area of the segment of the circle is
(4π − ) cm2.

i) 4π

ii) An isosceles triangle

iii) 8 cm^2[/tex]

iv)  

Step-by-step explanation:

The radius of the circle is 4 cm and the measure of the central angle is 90°.  

We know that the area of sector of a circle =

Given: r = 4 and central angle = 90

Now plug in these values in the above formula, we get

Area of the sector =

i) 4π

ii) In the triangle, the two sides are equal in measure, because the two sides represents the radius of the circle. The radius are the same in measure in a circle.

Therefore, the triangle is the second is an isosceles triangle.

iii) Area of a right triangle =

Here base = 4 and height = 4, plug in these values in the triangle formula, we get

The area of the triangle =

iv) The area of the segment of the circle is (4π - area of the triangle).

=

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step-by-step explanation:

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step-by-step explanation: