CIRCLE

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WHAT IS THE SUM OF THE OPPOSITE ANGLES OF A CYCLIC QUADRILATERAL?

180 DEGREES

DEGREE OF ONE FULL CIRCLE OR ENTIRE CIRCLE?

360 DEGREES

THE SUM OF ALL CENTRAL ANGLES IN A CIRCLE IS ______

360°

SEGMENT FORMULA

A=1/2r²θ - 1/2sinθ (AREA OF SECTOR MINUS AREA OF TRIANGLE)

SECTOR FORMULA

A=1/2r²θ | A=1/2rs

SEMI-CIRCLE FORMULA

A=1/2πr²

QUARTER CIRCLE FORMULA

A=1/4πr²

AREA OF SECTOR FORMULA

A=xπr²/360° (x=MEASURE OF ARC, r=RADIUS OF CIRCLE)

ANNULUS FORMULA

A=π(r₁²-r₂²) (AREA OF OUTER CIRCLE MINUS AREA OF INNER CIRCLE)

AREA OF A CIRCLE FORMULA

A=πr²

CIRCLE FORMULA

A=πr²

AN _____________ IS A PORTION OF A CIRCLE THAT CONTAINS TWO ENDPOINTS ONTHE CIRCLE AND ALL THE POINTS ON THE CIRCLE BETWEEN ENDPOINTS.

ARC

IT IS ANYTHING INSIDE A CIRCLE

AREAS

CIRCUMFERENCE FORMULA

C = 2πr

FORMULA OF CIRCUMFERENCE OF A CIRCLE IS THE PERIMETER OF THE CIRCLE.

C = 2πr

CIRCLE IS A SET OF POINTS, WHICH IS EQUIDISTANT FROM A FIXED POINT CALLED ___________.

CENTER

A CENTRAL ANGLE IS A ANGLE WITH VERTEX AT THE ________ OF THE CIRCLE AND ITS TWO SIDE ARE _________.

CENTER, RADII

A _____________ IS AN ANGLE WHOSE VERTEX LIES AT THE CENTER OF THE CIRCLE AND WHOSE SIDES ARE RADII OF THE CIRCLE.

CENTRAL ANGLE

IT IS A LINE SEGMENT JOINING ANY TWO POINTS ON THE CIRCLE.

CHORD

IT IS A SET OF POINTS, WHICH IS EQUIDISTANT FROM A FIXED POINT CALLED THE CENTER.

CIRCLE

IF CIRCLES OF CENTERDIFFERENT RADIII HAVE COMMON THEN THEY ARE REFFERED TO AS?

CONCENTRIC CIRCLES

THE ________________ FORMED BY THE ENDPOINTS OF A CENTRAL ANGLE __________ TO THE DEGREE OF THE CENTRAL ANGLE.

DEGREE OF ARC, EQUAL

A __________________________ IS A QUADLIRATERAL THAT CAN BE INSCRIBED IN A CIRCLE SUCH THAT EACH VERTEX OF THE QUADRILATERAL TOUCHES THE CIRCUMFERENCE OF THE CIRCLE.

DIAMETER

IT IS KNOWN AS THE LONGEST CHORD OF THE CIRCLE AND IT IS TWICE OF THE LENGTH OF A RADIUS.

DIAMETER

THE CHORD PASSES THROUGH THE CENTER OF THE CIRCLE IS A? IT IS A SPECIAL TYPE OF A CHORD THAT DIVIDES THE CIRCLE INTO TWO EQUAL PARTS.

DIAMETER

THE _____________________________________________ IS THE DET OF ALL POINTS OUTSIDE THE BOUNDARY OF THE CIRCLE WHOSE DISTANCE FROM THE CENTER ARE ALWAYS GREATER THAN RADIUS.

EXTERIOR OF THE CIRCLE

IT IS THE CENTERS ON THE OPPOSITE SIDES OF THEIR COMMON TANGENT LINE.

EXTERNALLY TANGENT

THE DEGREE OF THE INSCRIBED ANGLE IS EQUAL TO _______ THE MEASURE OF ITS INTERCEPTED ARC.

HALF

AN ___________________ IS AN ANGLE WITH ITS VERTEX ON THE CIRCLE WITH TWO SIDES THAT ARE CHORDS.

INSCRIBED ANGLE

IT LIES BETWEEN THE ENDPOINTS OF AN INSCRIBED ANGLE.

INTERCEPTED ARC

IT IS THE SET OF ALL POINTS WITHIN THE BOUNDARY OF THE CIRCLE WHOSE DISTANCES FROM THE CENTER ARE ALWAYS LESS THAN THE MEASURE OF THE RADIUS.

INTERIOR OF THE CIRCLE

WHAT ARE THE TWO TANGENT COPLANAR CIRCLES?

INTERNALLY AND EXTERNALLY TANGENT

IT IS THE CENTERS THAT BOTH LIE ON THE ONE SIDE OF THEIR COMMON TANGENT LINE.

INTERNALLY TANGENT

LENGTH OF THE CHORD

L=r√2(1-cosθ)

IT IS THE LONGEST ARC, MORE THAN 180 DEGREES

MAJOR ARC

BY CHOOSING ANY TWO POINTS ON THE CIRCLE, WHAT IS THE TWO ARCS WILL BE FORMED?

MAJOR ARC AND MINOR ARC

WHAT IS THE TWO REGIONS OR SEGMENT THAT DIVIDES THE CIRCLE?

MINOR AND MAJOR SEGMENT

ITS IS THE SHORTER ARC, LESS THAN 180 DEGREES

MINOR ARC

IT IS TWO INSCRIBED ANGLE INTERCEPT THE SAME ARC, THEN THE ANGLES ARE CONGRUENT.

OVERLAPPING ARCS

PERIMETER OF A SEGMENT

P= S+L (WHERE ARC LENGTH IS S AND L IS THE LENGTH CHORD.

PERIMETER OF A SECTOR

P=r(2+θ) / P=rθ+2r

IT IS THE DISTANCE AROUND THE CIRCLE?

PERIMETERS

THINK OF SECTOR LIKE A SLICE OF ________________.

PIZZA

IT IS THE LINE WHICH REPRESENTS THE SLOPE OF A CURVE AT THAT POINT.

POINT OF TANGENCY

WHAT IS THE PLURAL OF RADIUS?

RADII

IT IS THE LINE JOINING THE CENTER OF A CIRCLE TO ANY POINTS IN THE CIRCLE KNOWN AS THE _________.

RADIUS

INTERCEPTING A DIAMETER, IF AN INSCRIBED ANGLE INTERCEPTS A DIAMTER, THEN IT IS A ____________.

RIGHT ANGLE

IT IS A LINE THAT INTERSECTS THE CIRCLE AT TWO POINTS.

SECANT LINE

A SECTOR IS A _________________ OF A CIRCLE BOUNDED BY A ________________________ AND ___________________.

SECTION, CENTRAL ANGLE, INTERCEPTED ARC

IT IS THE FIGURE BOUNDED BY TWO RADII AND AN INCLUDED ARC.

SECTOR

IT IS A HALF OF A CIRCLE FORMED BY CUTTING THE CIRCLE INTO TWO HALVES, HAS 180 DEGREEES

SEMICIRCLE

IT IS A LINE IN THE SAME PLANE AS THE CIRCLE IS A TANGENT LINE OF THE CIRCLE. IF IT INTERSECTS THE CIRCLE AT EXACTLY ONE POINT OF THE CIRCLE.

TANGENT LINE

THE ARE BOUNDED BY ANY TWO CONCENTRIC IS KNOWN AS?

THE ANNULUS

DEGREE OF CENTRAL ANGLE IS EQUAL TO THE ARC LENGTH OF THE CIRCLE

TRUE

IS IT IMPORTANT MEASUREMENT IF THE RAIUS IS DETERMINED, WE CAN COMPUTE CIRCUMFERENCE AND AREA OF A CIRCLE.

TRUE

THE AREA OF A SECTOR OF A CIRCLE IS A PROPORTION OF THE ENTIRE AREA.

TRUE

TWO CIRCLES ARE TANGENT CIRCLES IF THEY ARE TANGENT TO THE SAME LINE AT THE SAME POINT.

TRUE

ARC LENGTH FORMULA

s=rθ

DIAMTER FORMULA

π/4*d²


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