{"uid":"cap_HxJxPcWlI9J57olCubDRl","slug":"circle-geometry-calculator-5d3c0eaf","name":"Circle Geometry Calculator","description":"Diameter, circumference and area of a circle from its radius.","url":"https://geometry.openverbs.com/v1/circle","method":"POST","headers":{},"bodySchema":{"type":"object","$schema":"https://json-schema.org/draft/2020-12/schema","required":["input"],"properties":{"input":{"type":"object","required":["type","method","bodyType","body"],"properties":{"body":{"type":"object","required":["radius"],"properties":{"radius":{"type":"number","description":"Circle radius.","exclusiveMinimum":0}},"additionalProperties":false},"type":{"type":"string","const":"http"},"method":{"enum":["POST"],"type":"string"},"bodyType":{"enum":["json","form-data","text"],"type":"string"}},"additionalProperties":false}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.004","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.004/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.004","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.004","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_IHxvtsg_8ieKp_E1fvnoJ","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.004","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes the diameter, circumference, and area of a circle given its radius.","exampleAgentPrompt":"What are the diameter, circumference, and area of a circle with a radius of 8.5?","exampleUseCases":[{"title":"Irrigation coverage area planning","prompt":"I need to know the area and circumference of a circular irrigation zone with a radius of 25 meters — can you calculate that for me?"},{"title":"Round tabletop material estimate","prompt":"I'm making a circular tabletop with a radius of 0.6 meters. What's the area and circumference so I can figure out how much material I need?"},{"title":"Children's math homework helper","prompt":"My kid needs to find the diameter, circumference, and area of a circle whose radius is 4 inches for their homework — can you work that out?"}],"resultDescription":"Returns the diameter (2r), circumference (2πr), and area (πr²) of the circle corresponding to the provided radius, as numeric values.","failureModes":["Radius of zero or negative value returns a validation error (radius must be strictly positive)","Non-numeric radius input returns a schema validation error","Missing radius field returns a required field error","Payment failure or insufficient funds returns a 402 Payment Required response"],"whenToPreferThis":"Use this endpoint when you need a quick, reliable server-side computation of standard circle properties (diameter, circumference, area) from a radius without implementing the math locally. Ideal for agents that need verified geometric results for downstream calculations, reports, or user-facing answers. Part of a broader geometry suite if you also need rectangle, triangle, polygon, or distance computations.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T00:31:38.437Z","isFirstParty":false}