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Q: What is the area of the shaded sector if the circle has a diameter of 8.5cm and two angles measuring 160 degrees each?

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There are 360 degrees around a circle

It's actually 2(pi), you technically need to say 360 degrees. I believe we defined it to be that, but you can prove that it's 360 degrees: Draw a diameter. Draw a second diameter perpendicular to the first. You now have four right angles. Right angles measure 90 degrees. 90 * 4 = 360 Hence, there are 360 degrees in the circle.

If the diameter is known, don't bother measuring the circumference.Simply multiply the diameter by 'pi'.

Degrees of a full circle of 360 degrees.

Angles are formed by measuring a line from the centre of a circle to the edge of the circle marked in degrees, minutes and seconds. A protractor and ruler are commonly used to measure and draw angles.A complete circle is 360 degrees.A half circle is 180 degrees.A quarter circle is 90 degrees.A right-angle triangle has one corner with an angle of 90 degrees. The two other angles are both 45 degrees. 90 + 45 + 45 = 180 degrees (half a circle).The right-angle triangle is actually half of a square. If two such triangles were to be joined together to form a square, all angles will add up to 360 degrees.90 + 45 + 45 =180 x 2 = 360 degrees.

Related questions

unit in earth science used for measuring angles in a circle or sphere?

The diameter is found by measuring across the center of the circle.

Because the diameter is a straight line.

The symbol is °C, in which the little circle is 'degrees' just like when measuring angles in degrees. The C is for Celsius.

A circle has 360 degrees, whatever its diameter.

Yes.

There are 360 degrees around a circle

The diameter of a shape is formulated by measuring from one edge of a circle to the other.

It's actually 2(pi), you technically need to say 360 degrees. I believe we defined it to be that, but you can prove that it's 360 degrees: Draw a diameter. Draw a second diameter perpendicular to the first. You now have four right angles. Right angles measure 90 degrees. 90 * 4 = 360 Hence, there are 360 degrees in the circle.

The diameter of a skating circle will vary depending on the size of the skating rink. The diameter is determined by measuring from the middle of the circle from one side to the other.

What is the sum of a center angles of a circle

There are no angles in a circle but the circle covers 360° (degrees)

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