Question

Help me w this pls thanks

Answer 1

Answer: 7.14 mm and 3.14 mm²

Explanation:

The perimeter of a figure is the total length on the outside of the figure. A regular circle has a perimeter of
`2\pi r`, where r is the radius and
`\pi` is an irrational constant, approximately 3.14.

Due to the right angle, we know that this is a quarter circle, as it is a quarter of 360°, or a full circle. Hence, the curved portion of the quarter circle is
`(1)/(4)* 2\pi r` or
`(1)/(2) \pi r`. The radius is 2 mm, so this value is

`(1)/(2) \pi*2=\pi`

However, this isn't the total perimeter, as there are straight edges in the figure too. Both edges are radii of the whole circle, so both would be 2mm. Their total is

`2+2=4`

By adding
`\pi` to 4 we get
`\pi +4` or 7.14 mm.

The area is the total space enclosed by a figure. The total area of a whole circle is
`\pi r^2`, where r is still the radius. Since this is a quarter circle, it would take up a quarter of the area, or
`(1)/(4) \pi r^2`. We can plug in 2 for r and solve to get the area.

`(1)/(4)\pi*2^2\\(1)/(4)\pi*4\\\pi`

Hence, the area is
`\pi`, or around 3.14 mm².

Answer 2

Perimeter: 4+
`\pi \\` mm

Area:
`\pi` mm^2

Explanation:

Perimeter:

90/360 * 4
`\pi \\` +2 + 2 = 4+
`\pi \\`

Area:

90/360 * 4
`\pi` =
`\pi`