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  • Geometry
  • Circles
  • Inscribed and Central Angles in Circles

Inscribed and Central Angles in Circles

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  • Question 1:
    1 pts
    		Find is the measure of angle β\beta shown on the picture.
    β=72∘\beta=72^{\circ}
    β=48∘\beta=48^{\circ}
    β=36∘\beta=36^{\circ}
    β=18∘\beta=18^{\circ}
  • Question 2:
    1 pts
    		Find is the measure of angle α\alpha shown on the picture.
    α=\alpha=
  • Question 3:
    1 pts
    		Find is the measure of angle α\alpha shown on the picture.
    75∘75^{\circ}
    60∘60^{\circ}
    45∘45^{\circ}
    30∘30^{\circ}
  • Question 4:
    1 pts
    		Find is the measure of angle β\beta shown on the picture.
    β=72∘\beta=72^{\circ}
    β=54∘\beta=54^{\circ}
    β=108∘\beta=108^{\circ}
    β=126∘\beta=126^{\circ}
  • Question 5:
    2 pts
    		Find is the measure of angle β\beta shown on the picture.
    β=\beta=
  • Question 6:
    2 pts
    		Find is the measure of angle α\alpha shown on the picture.
    α=\alpha=
  • Question 7:
    2 pts
    		Find is the measure of angle α\alpha shown on the picture, if α+β=78∘.\alpha + \beta=78^{\circ}.
    α=52∘\alpha=52^{\circ}
    α=26∘\alpha=26^{\circ}
    α=39∘\alpha=39^{\circ}
    α=108∘\alpha=108^{\circ}
  • Question 8:
    2 pts
    		Find is the measure of angle β\beta shown on the picture, if α+β=100∘.\alpha + \beta=100^{\circ}.
    β=66∘30′\beta=66^{\circ}30^{'}
    β=33∘40′\beta=33^{\circ}40^{'}
    β=66∘20′\beta=66^{\circ}20^{'}
    β=33∘20′\beta=33^{\circ}20^{'}
  • Question 9:
    3 pts
    		BCBC is a chord of a circle whose central angle is 68∘34′.68^{\circ}34^{'}. If AA is a point on arc BC,BC, at which angle from the point AA we can see the chord BC?BC?
    125∘43′125^{\circ}43^{'}
    34∘17′34^{\circ}17^{'}
    68∘30′68^{\circ}30^{'}
    145∘43′145^{\circ}43^{'}
  • Question 10:
    3 pts
    		At which angle from the point CC we can see the chord AB?AB?

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