Measuring Angles And Circle Graphs Worksheet Template printable pdf download

Measuring Angles And Circle Graphs Worksheet Template

Name: _ ________________________________________________________ P eriod: _ _____ D ate: _ __________________________

G rade M athematics P SSA P reparation P rogram o M astered O n: _ ____________________

Measuring Angles and Circle Graphs

Anchors A ddressed

M11.B.2.1.1 – Measure and/or compare angles in degrees (up to 360°) (Protractors must be provided or

drawn.)

M11.E.4.1.1 – E stimate o r c alculate t o m ake p redictions b ased o n a c ircle, l ine, b ar g raph, o r g iven s ituation.

C oncepts

Protractors are used to accurately measure and draw angles. Angles appear in everything from buildings to

circle g raphs. A ngles a re l abeled b y t he p oints l ocated o n t he r ays a nd v ertex o f t he a ngle. R ecall t he v ertex i s

the p oint w here t he t wo r ays m eet a nd t he r ays f orm t he “ sides” o f t he a ngles. A cute a ngles h ave m easures

that a re l ess t han 9 0 d egrees a nd o btuse a ngles h ave m easures t hat a re g reater t han 9 0 d egrees.

Measuring A ngles w ith a P rotractor

To m easure a n a ngle w ith a p rotractor, f ollow t hese s teps.

S TEP 1 : A lign t he b ottom l ine o f t he a ngle w ith t he 0 d egree l ine o f t he p rotractor.

S TEP 2 : A lign t he v ertex o f t he a ngle w ith t he m ark a t t he c enter o f t he p rotractor.

S TEP 3: Read the angle on the protractor where the second ray of the angle crosses the protractor’s outer

edge. If the angle is acute, like the one shown, the angle is the smaller number. If the angle is

obtuse, t he a ngle i s t he l arger n umber.

E xample 1 : M easure t he a ngle s hown b elow.

S olution: U sing t he s teps o utlined a bove, t he m easure o f t he a ngle i s 4 1°.

?

Test Taking Tip: You can always determine whether an angle is acute or obtuse when taking a

test without using a protractor. The corner of a sheet of paper forms a 90° angle. Place a the

corner of the paper at the vertex and align one ray of the angle with one edge of the paper. If

you c an s ee t he o ther r ay, t he a ngle i s o btuse, o therwise t he a ngle i s a cute.

Measuring Angles And Circle Graphs Worksheet Template