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WZ and XR are diameters of circle C. The diagram is not drawn to scale.
What is the measure of convex arc upper ZWX?

WZ and XR are diameters of circle C The diagram is not drawn to scale What is the measure of convex arc upper ZWX class=

Respuesta :

The measure of the convex arc is given by the following relationship:
 WZ + 41 = ZWX
 From here, we must clear We must replace the value of WZ.
 The value of WZ is given by
 WZ=180
 We have then:
 ZWX = 180 + 41
 ZWX = 221 degrees
 Answer:
 
the measure of convex arc upper ZWX is:
 ZWX
 = 221 degrees

The measure of convex arc upper ZWX is 139πr/180.

Let us say the radius of the given circle is r.

The central angle of the lower arc ZWX = 41+180 = 221 degree

The central angle of the upper arc ZWX = 360- central angle of the lower arc ZWX.

The central angle of the upper arc ZWX = 360-221 = 139 degree

What is the formula for arc length?

Arc length is the product of radius and central angle.

Arc length of upper ZWX:

The central angle of the upper arc ZWX (in radians)* radius of the circle.

Arc length of upper ZWX = 139π/180*r

Arc length of upper ZWX = 139πr/180

Therefore, the measure of convex arc upper ZWX is 139πr/180.

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