What is the radius of polygon JKLMN ?

Mathematics

1 answer:

Nataly [62]3 years ago

5 0

Answer:

Radius of the circle is 5 units.

Step-by-step explanation:

JKLMN is a regular polygon inscribed in a circle.

Since, its a regular polygon,

JN = NM = 5.88 units

"Perpendicular drawn from the center of the circle to any chord is the bisector of the chord"

Therefore, PQ will be the perpendicular bisector of chord NM.

QM = $\frac{1}{2}(NM)$

QM = $\frac{1}{2}(5.88)$

QM = 2.94 units

By applying Pythagoras theorem in ΔPQM,

PM² = PQ² + QM²

PM² = (4.05)² + (2.94)²

PM = $\sqrt{16.4025+8.6436}$

PM = $\sqrt{25.0461}$

PM = 5 units

Therefore, radius of the circle is 5 units.

You might be interested in

Please answer everything in the screenshot below I will mark brainliest.

ELEN [110]

Answer:

The weeks is the independent variable and the height is the dependent variable.

Step-by-step explanation:

This is because the number of weeks you take to care for it depends on the height it will become. Hope this makes sense!

7 0

3 years ago

The table shows the ratio between the number of tickets ordered and their cost: Number of Tickets Cost (dollars) 5 20 7 28 9 36

Charra [1.4K]

9514 1404 393

Answer:

(1, 4)
(2, 8)
(3, 12)

Step-by-step explanation:

The ratios all have ...

first number : second number = 1 : 4

Using first numbers of 1, 2, 3, the second numbers can be found by multiplying these by 4. (1, 4), (2, 8), (3, 12)

You plot these (x, y) points the same way you plot any point on a coordinate grid. The first (x) value is the horizontal distance from the vertical axis. Positive is to the right. The second (y) value is the vertical distance from the horizontal axis. Positive is up.

Of course, the origin is where the horizontal and vertical axes meet. It can be convenient to find one of the coordinates on its respective axis, then use the other coordinate to find the point at the desired distance from that axis.

Usually, you would choose the axis on the basis of how easy it is to determine exactly where the coordinate lies. If the y-axis is marked every 5, for example, it might be hard to determine where a multiple of 4 will lie. Locating the x-coordinate on the x-axis may be an easier way to start.