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General Information

Related Standards: MAFS.912.G-C.2.5
Reporting Category: Geometry: Circles
Type: EE: Equation Editor
Difficulty: N/A
Question:

Circle Q has a radius,r, in units. The measure of begin mathsize 12px style angle A Q B end style is xº, as shown.

 

A. Create an expression using r and x that can be used to find the length of begin mathsize 12px style stack A B with overparenthesis on top end style, in units.

B. Then, create an expression that could be used to find the length of begin mathsize 12px style stack A B with overparenthesis on top end style, in units, if circle Q were dilated by a scale factor of 3.7

Possible Answer:

A. begin mathsize 12px style x over 180 pr end style

B.begin mathsize 12px style fraction numerator 3.7 pr x over denominator 180 end fraction end style


Aligned Standards

Code Description
MAFS.912.G-C.2.5: Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.


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